! ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
! 
! Linear Algebra Data and Routines File
! 
! Generated by KPP-2.2.3 symbolic chemistry Kinetics PreProcessor
!       (http://www.cs.vt.edu/~asandu/Software/KPP)
! KPP is distributed under GPL, the general public licence
!       (http://www.gnu.org/copyleft/gpl.html)
! (C) 1995-1997, V. Damian & A. Sandu, CGRER, Univ. Iowa
! (C) 1997-2005, A. Sandu, Michigan Tech, Virginia Tech
!     With important contributions from:
!        M. Damian, Villanova University, USA
!        R. Sander, Max-Planck Institute for Chemistry, Mainz, Germany
! 
! File                 : aromatics_kpp_LinearAlgebra.f90
! Time                 : Thu Dec 17 19:43:15 2020
! Working directory    : /n/home08/kbates/Aromatics/MOZART_chamber
! Equation file        : aromatics_kpp.kpp
! Output root filename : aromatics_kpp
! 
! ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~



MODULE aromatics_kpp_LinearAlgebra

  USE aromatics_kpp_Parameters
  USE aromatics_kpp_JacobianSP

  IMPLICIT NONE

CONTAINS


! ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
! 
! SPARSE_UTIL - SPARSE utility functions
!   Arguments :
! 
! ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~


! ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
SUBROUTINE KppDecomp( JVS, IER )
! ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
!        Sparse LU factorization
! ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

  USE aromatics_kpp_Parameters
  USE aromatics_kpp_JacobianSP

      INTEGER  :: IER
      REAL(kind=dp) :: JVS(LU_NONZERO), W(NVAR), a
      INTEGER  :: k, kk, j, jj

      a = 0. ! mz_rs_20050606
      IER = 0
      DO k=1,NVAR
        ! mz_rs_20050606: don't check if real value == 0
        ! IF ( JVS( LU_DIAG(k) ) .EQ. 0. ) THEN
        IF ( ABS(JVS(LU_DIAG(k))) < TINY(a) ) THEN
            IER = k
            RETURN
        END IF
        DO kk = LU_CROW(k), LU_CROW(k+1)-1
              W( LU_ICOL(kk) ) = JVS(kk)
        END DO
        DO kk = LU_CROW(k), LU_DIAG(k)-1
            j = LU_ICOL(kk)
            a = -W(j) / JVS( LU_DIAG(j) )
            W(j) = -a
            DO jj = LU_DIAG(j)+1, LU_CROW(j+1)-1
               W( LU_ICOL(jj) ) = W( LU_ICOL(jj) ) + a*JVS(jj)
            END DO
         END DO
         DO kk = LU_CROW(k), LU_CROW(k+1)-1
            JVS(kk) = W( LU_ICOL(kk) )
         END DO
      END DO
      
END SUBROUTINE KppDecomp


! ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
SUBROUTINE KppDecompCmplx( JVS, IER )
! ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
!        Sparse LU factorization, complex
! ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

  USE aromatics_kpp_Parameters
  USE aromatics_kpp_JacobianSP

      INTEGER        :: IER
      DOUBLE COMPLEX :: JVS(LU_NONZERO), W(NVAR), a
      REAL(kind=dp)  :: b = 0.0
      INTEGER        :: k, kk, j, jj

      IER = 0
      DO k=1,NVAR
        IF ( ABS(JVS(LU_DIAG(k))) < TINY(b) ) THEN
            IER = k
            RETURN
        END IF
        DO kk = LU_CROW(k), LU_CROW(k+1)-1
              W( LU_ICOL(kk) ) = JVS(kk)
        END DO
        DO kk = LU_CROW(k), LU_DIAG(k)-1
            j = LU_ICOL(kk)
            a = -W(j) / JVS( LU_DIAG(j) )
            W(j) = -a
            DO jj = LU_DIAG(j)+1, LU_CROW(j+1)-1
               W( LU_ICOL(jj) ) = W( LU_ICOL(jj) ) + a*JVS(jj)
            END DO
         END DO
         DO kk = LU_CROW(k), LU_CROW(k+1)-1
            JVS(kk) = W( LU_ICOL(kk) )
         END DO
      END DO
      
END SUBROUTINE KppDecompCmplx


! ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
SUBROUTINE KppDecompCmplxR( JVSR, JVSI, IER )
! ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
!    Sparse LU factorization, complex
!   (Real and Imaginary parts are used instead of complex data type)     
! ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

  USE aromatics_kpp_Parameters
  USE aromatics_kpp_JacobianSP

      INTEGER       :: IER
      REAL(kind=dp) :: JVSR(LU_NONZERO), JVSI(LU_NONZERO) 
      REAL(kind=dp) :: WR(NVAR), WI(NVAR), ar, ai, den
      INTEGER       :: k, kk, j, jj

      IER = 0
      ar  = 0.0
      DO k=1,NVAR
        IF (  ( ABS(JVSR(LU_DIAG(k))) < TINY(ar) ) .AND. &
              ( ABS(JVSI(LU_DIAG(k))) < TINY(ar) ) )  THEN
            IER = k
            RETURN
        END IF
        DO kk = LU_CROW(k), LU_CROW(k+1)-1
              WR( LU_ICOL(kk) ) = JVSR(kk)
              WI( LU_ICOL(kk) ) = JVSI(kk)
        END DO
        DO kk = LU_CROW(k), LU_DIAG(k)-1
            j = LU_ICOL(kk)
            den = JVSR(LU_DIAG(j))**2 + JVSI(LU_DIAG(j))**2
            ar = -(WR(j)*JVSR(LU_DIAG(j)) + WI(j)*JVSI(LU_DIAG(j)))/den
            ai = -(WI(j)*JVSR(LU_DIAG(j)) - WR(j)*JVSI(LU_DIAG(j)))/den
            WR(j) = -ar
            WI(j) = -ai
            DO jj = LU_DIAG(j)+1, LU_CROW(j+1)-1
               WR( LU_ICOL(jj) ) = WR( LU_ICOL(jj) ) + ar*JVSR(jj) - ai*JVSI(jj)
               WI( LU_ICOL(jj) ) = WI( LU_ICOL(jj) ) + ar*JVSI(jj) + ai*JVSR(jj)
            END DO
         END DO
         DO kk = LU_CROW(k), LU_CROW(k+1)-1
            JVSR(kk) = WR( LU_ICOL(kk) )
            JVSI(kk) = WI( LU_ICOL(kk) )
         END DO
      END DO

END SUBROUTINE KppDecompCmplxR


! ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
SUBROUTINE KppSolveIndirect( JVS, X )
! ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
!        Sparse solve subroutine using indirect addressing
! ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

  USE aromatics_kpp_Parameters
  USE aromatics_kpp_JacobianSP

      INTEGER  :: i, j
      REAL(kind=dp) :: JVS(LU_NONZERO), X(NVAR), sum

      DO i=1,NVAR
         DO j = LU_CROW(i), LU_DIAG(i)-1 
             X(i) = X(i) - JVS(j)*X(LU_ICOL(j));
         END DO  
      END DO

      DO i=NVAR,1,-1
        sum = X(i);
        DO j = LU_DIAG(i)+1, LU_CROW(i+1)-1
          sum = sum - JVS(j)*X(LU_ICOL(j));
        END DO
        X(i) = sum/JVS(LU_DIAG(i));
      END DO
      
END SUBROUTINE KppSolveIndirect


! ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
SUBROUTINE KppSolveTRIndirect( JVS, X )
! ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
!        Complex sparse solve transpose subroutine using indirect addressing
! ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

  USE aromatics_kpp_Parameters
  USE aromatics_kpp_JacobianSP

      INTEGER       :: i, j
      REAL(kind=dp) :: JVS(LU_NONZERO), X(NVAR)

      DO i=1,NVAR
        X(i) = X(i)/JVS(LU_DIAG(i))
	! subtract all nonzero elements in row i of JVS from X
        DO j=LU_DIAG(i)+1,LU_CROW(i+1)-1
	  X(LU_ICOL(j)) = X(LU_ICOL(j))-JVS(j)*X(i)
	END DO
      END DO

      DO i=NVAR, 1, -1
	! subtract all nonzero elements in row i of JVS from X
        DO j=LU_CROW(i),LU_DIAG(i)-1
	  X(LU_ICOL(j)) = X(LU_ICOL(j))-JVS(j)*X(i)
	END DO
      END DO
      
END SUBROUTINE KppSolveTRIndirect


! ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
SUBROUTINE KppSolveCmplx( JVS, X )
! ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
!        Complex sparse solve subroutine using indirect addressing
! ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

  USE aromatics_kpp_Parameters
  USE aromatics_kpp_JacobianSP

      INTEGER        :: i, j
      DOUBLE COMPLEX :: JVS(LU_NONZERO), X(NVAR), sum

      DO i=1,NVAR
         DO j = LU_CROW(i), LU_DIAG(i)-1 
             X(i) = X(i) - JVS(j)*X(LU_ICOL(j));
         END DO  
      END DO

      DO i=NVAR,1,-1
        sum = X(i);
        DO j = LU_DIAG(i)+1, LU_CROW(i+1)-1
          sum = sum - JVS(j)*X(LU_ICOL(j));
        END DO
        X(i) = sum/JVS(LU_DIAG(i));
      END DO
      
END SUBROUTINE KppSolveCmplx

! ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
SUBROUTINE KppSolveCmplxR( JVSR, JVSI, XR, XI )
! ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
!   Complex sparse solve subroutine using indirect addressing
!   (Real and Imaginary parts are used instead of complex data type)     
! ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

  USE aromatics_kpp_Parameters
  USE aromatics_kpp_JacobianSP

      INTEGER       ::  i, j
      REAL(kind=dp) ::  JVSR(LU_NONZERO), JVSI(LU_NONZERO), XR(NVAR), XI(NVAR), sumr, sumi, den

      DO i=1,NVAR
         DO j = LU_CROW(i), LU_DIAG(i)-1 
             XR(i) = XR(i) - (JVSR(j)*XR(LU_ICOL(j)) - JVSI(j)*XI(LU_ICOL(j)))
             XI(i) = XI(i) - (JVSR(j)*XI(LU_ICOL(j)) + JVSI(j)*XR(LU_ICOL(j)))
         END DO  
      END DO

      DO i=NVAR,1,-1
        sumr = XR(i); sumi = XI(i)
        DO j = LU_DIAG(i)+1, LU_CROW(i+1)-1
            sumr = sumr - (JVSR(j)*XR(LU_ICOL(j)) - JVSI(j)*XI(LU_ICOL(j)))
            sumi = sumi - (JVSR(j)*XI(LU_ICOL(j)) + JVSI(j)*XR(LU_ICOL(j)))
        END DO
        den   = JVSR(LU_DIAG(i))**2 + JVSI(LU_DIAG(i))**2
        XR(i) = (sumr*JVSR(LU_DIAG(i)) + sumi*JVSI(LU_DIAG(i)))/den
        XI(i) = (sumi*JVSR(LU_DIAG(i)) - sumr*JVSI(LU_DIAG(i)))/den
      END DO
      
END SUBROUTINE KppSolveCmplxR


! ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
SUBROUTINE KppSolveTRCmplx( JVS, X )
! ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
!        Complex sparse solve transpose subroutine using indirect addressing
! ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

  USE aromatics_kpp_Parameters
  USE aromatics_kpp_JacobianSP

      INTEGER        :: i, j
      DOUBLE COMPLEX :: JVS(LU_NONZERO), X(NVAR)

      DO i=1,NVAR
        X(i) = X(i)/JVS(LU_DIAG(i))
	! subtract all nonzero elements in row i of JVS from X
        DO j=LU_DIAG(i)+1,LU_CROW(i+1)-1
	  X(LU_ICOL(j)) = X(LU_ICOL(j))-JVS(j)*X(i)
	END DO
      END DO

      DO i=NVAR, 1, -1
	! subtract all nonzero elements in row i of JVS from X
        DO j=LU_CROW(i),LU_DIAG(i)-1
	  X(LU_ICOL(j)) = X(LU_ICOL(j))-JVS(j)*X(i)
	END DO
      END DO
      
END SUBROUTINE KppSolveTRCmplx


! ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
SUBROUTINE KppSolveTRCmplxR( JVSR, JVSI, XR, XI )
! ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
!   Complex sparse solve transpose subroutine using indirect addressing
!   (Real and Imaginary parts are used instead of complex data type)     
! ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

  USE aromatics_kpp_Parameters
  USE aromatics_kpp_JacobianSP

      INTEGER       ::  i, j
      REAL(kind=dp) ::  JVSR(LU_NONZERO), JVSI(LU_NONZERO), XR(NVAR), XI(NVAR), den

      DO i=1,NVAR
        den   = JVSR(LU_DIAG(i))**2 + JVSI(LU_DIAG(i))**2
        XR(i) = (XR(i)*JVSR(LU_DIAG(i)) + XI(i)*JVSI(LU_DIAG(i)))/den
        XI(i) = (XI(i)*JVSR(LU_DIAG(i)) - XR(i)*JVSI(LU_DIAG(i)))/den
	! subtract all nonzero elements in row i of JVS from X
        DO j=LU_DIAG(i)+1,LU_CROW(i+1)-1
	  XR(LU_ICOL(j)) = XR(LU_ICOL(j))-(JVSR(j)*XR(i) - JVSI(j)*XI(i))
	  XI(LU_ICOL(j)) = XI(LU_ICOL(j))-(JVSI(j)*XR(i) + JVSR(j)*XI(i))
	END DO
      END DO

      DO i=NVAR, 1, -1
	! subtract all nonzero elements in row i of JVS from X
        DO j=LU_CROW(i),LU_DIAG(i)-1
	  XR(LU_ICOL(j)) = XR(LU_ICOL(j))-(JVSR(j)*XR(i) - JVSI(j)*XI(i))
	  XI(LU_ICOL(j)) = XI(LU_ICOL(j))-(JVSI(j)*XR(i) + JVSR(j)*XI(i))
	END DO
      END DO
      
END SUBROUTINE KppSolveTRCmplxR


!
! Next few commented subroutines perform sparse big linear algebra
!
!! ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
!SUBROUTINE KppDecompBig( JVS, IP, IER )
!! ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
!!        Sparse LU factorization
!!        for the Runge Kutta (3n)x(3n) linear system
!! ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
!
!  USE aromatics_kpp_Parameters
!  USE aromatics_kpp_JacobianSP
!
!      INTEGER  :: IP3(3), IER, IP(3,NVAR)
!      REAL(kind=dp) :: JVS(3,3,LU_NONZERO), W(3,3,NVAR), a(3,3), E(3,3)
!      INTEGER  :: k, kk, j, jj
!
!      a = 0.0d0
!      IER = 0
!      DO k=1,NVAR
!        DO kk = LU_CROW(k), LU_CROW(k+1)-1
!              W( 1:3,1:3,LU_ICOL(kk) ) = JVS(1:3,1:3,kk)
!        END DO
!        DO kk = LU_CROW(k), LU_DIAG(k)-1
!            j = LU_ICOL(kk)
!            E(1:3,1:3) = JVS( 1:3,1:3,LU_DIAG(j) )
!            ! CALL DGETRF(3,3,E,3,IP3,IER) 
!            CALL FAC3(E,IP3,IER)
!            IF ( IER /= 0 )  RETURN
!            ! a = W(j) / JVS( LU_DIAG(j) )
!            a(1:3,1:3) = W( 1:3,1:3,j )
!            ! CALL DGETRS ('N',3,3,E,3,IP3,a,3,IER) 
!            CALL SOL3('N',E,IP3,a(1,1))
!            CALL SOL3('N',E,IP3,a(1,2))
!            CALL SOL3('N',E,IP3,a(1,3))
!            W(1:3,1:3,j) = a(1:3,1:3)
!            DO jj = LU_DIAG(j)+1, LU_CROW(j+1)-1
!               W( 1:3,1:3,LU_ICOL(jj) ) = W( 1:3,1:3,LU_ICOL(jj) ) &
!                        - MATMUL( a(1:3,1:3) , JVS(1:3,1:3,jj) )
!            END DO
!         END DO
!         DO kk = LU_CROW(k), LU_CROW(k+1)-1
!            JVS(1:3,1:3,kk) = W( 1:3,1:3,LU_ICOL(kk) )
!         END DO
!      END DO
!
!      DO k=1,NVAR
!         ! CALL WGEFA(JVS(1,1,LU_DIAG(k)),3,3,IP(1,k),IER)
!         ! CALL DGETRF(3,3,JVS(1,1,LU_DIAG(k)),3,IP(1,k),IER)
!         CALL FAC3(JVS(1,1,LU_DIAG(k)),IP(1,k),IER)
!         IF ( IER /= 0 )  RETURN
!      END DO 
!      
!END SUBROUTINE KppDecompBig
!
!
!! ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
!SUBROUTINE KppSolveBig( JVS, IP, X )
!! ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
!!        Sparse solve subroutine using indirect addressing
!!        for the Runge Kutta (3n)x(3n) linear system
!! ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
!
!  USE aromatics_kpp_Parameters
!  USE aromatics_kpp_JacobianSP
!
!      INTEGER  :: i, j, k, m, IP3(3), IP(3,NVAR), IER
!      REAL(kind=dp) :: JVS(3,3,LU_NONZERO), X(3,NVAR), sum(3)
!
!      DO i=1,NVAR
!        DO j = LU_CROW(i), LU_DIAG(i)-1 
!          !X(1:3,i) = X(1:3,i) - MATMUL(JVS(1:3,1:3,j),X(1:3,LU_ICOL(j)));
!          DO k=1,3
!            DO m=1,3
!	       X(k,i) = X(k,i) - JVS(k,m,j)*X(m,LU_ICOL(j))
!            END DO
!          END DO
!        END DO  
!      END DO
!
!      DO i=NVAR,1,-1
!        sum(1:3) = X(1:3,i);
!        DO j = LU_DIAG(i)+1, LU_CROW(i+1)-1
!          !sum(1:3) = sum(1:3) - MATMUL(JVS(1:3,1:3,j),X(1:3,LU_ICOL(j)));
!          DO k=1,3
!            DO m=1,3
!	       sum(k) = sum(k) - JVS(k,m,j)*X(m,LU_ICOL(j))
!            END DO
!          END DO
!        END DO
!        ! X(i) = sum/JVS(LU_DIAG(i));
!        ! CALL DGETRS ('N',3,1,JVS(1:3,1:3,LU_DIAG(i)),3,IP(1,i),sum,3,0) 
!        ! CALL WGESL('N',JVS(1,1,LU_DIAG(i)),3,3,IP(1,i),sum)
!        CALL SOL3('N',JVS(1,1,LU_DIAG(i)),IP(1,i),sum)
!        X(1:3,i) = sum(1:3)
!      END DO
!      
!END SUBROUTINE KppSolveBig
!
!
!! ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
!SUBROUTINE KppSolveBigTR( JVS, IP, X )
!! ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
!!        Big sparse transpose solve using indirect addressing
!! ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
!
!  USE aromatics_kpp_Parameters
!  USE aromatics_kpp_JacobianSP
!
!      INTEGER       :: i, j, k, m, IP(3,NVAR)
!      REAL(kind=dp) :: JVS(3,3,LU_NONZERO), X(3,NVAR)
!
!      DO i=1,NVAR
!        ! X(i) = X(i)/JVS(LU_DIAG(i))
!        CALL SOL3('T',JVS(1,1,LU_DIAG(i)),IP(1,i),X(1,i))
!        DO j=LU_DIAG(i)+1,LU_CROW(i+1)-1
!	  !X(1:3,LU_ICOL(j)) = X(1:3,LU_ICOL(j)) &
!          !    - MATMUL( TRANSPOSE(JVS(1:3,1:3,j)), X(1:3,i) )
!          DO k=1,3
!            DO m=1,3
!	       X(k,LU_ICOL(j)) = X(k,LU_ICOL(j)) - JVS(m,k,j)*X(m,i)
!            END DO
!          END DO
!	END DO
!      END DO
!
!      DO i=NVAR, 1, -1
!        DO j=LU_CROW(i),LU_DIAG(i)-1
!	  !X(1:3,LU_ICOL(j)) = X(1:3,LU_ICOL(j)) &
!          !   - MATMUL( TRANSPOSE(JVS(1:3,1:3,j)), X(1:3,i) )
!          DO k=1,3
!            DO m=1,3
!	       X(k,LU_ICOL(j)) = X(k,LU_ICOL(j)) - JVS(m,k,j)*X(m,i)
!            END DO
!          END DO
!	END DO
!      END DO
!      
!END SUBROUTINE KppSolveBigTR
!
!
!
!! ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
!SUBROUTINE FAC3(A,IPVT,INFO)
!! ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
!!     FAC3 FACTORS THE MATRIX A (3,3) BY
!!           GAUSS ELIMINATION WITH PARTIAL PIVOTING
!!     LINPACK - LIKE 
!!
!!     Remove comments to perform pivoting
!! ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
!!
!      REAL(kind=dp) :: A(3,3)
!      INTEGER       :: IPVT(3),INFO
!!      INTEGER       :: L
!!      REAL(kind=dp) :: t, dmax, da, TMP(3)
!      REAL(kind=dp), PARAMETER :: ZERO = 0.0, ONE = 1.0
!
!      info = 0
!!      t = TINY(da)
!!      
!!      da = ABS(A(1,1)); L = 1
!!      IF ( ABS(A(2,1))>da ) THEN
!!        da = ABS(A(2,1)); L = 2
!!        IF ( ABS(A(3,1))>da ) THEN
!!          L = 3
!!        END IF  
!!      END IF  
!!      IPVT(1)  = L
!!      IF (L /=1 ) THEN
!!         TMP(1:3) = A(L,1:3)
!!         A(L,1:3) = A(1,1:3)
!!         A(1,1:3) = TMP(1:3)
!!      END IF
!!      IF (ABS(A(1,1)) < t) THEN
!!         info = 1
!!         return
!!      END IF   
!!
!      A(2,1) = A(2,1)/A(1,1)
!      A(2,2) = A(2,2) - A(2,1)*A(1,2)
!      A(2,3) = A(2,3) - A(2,1)*A(1,3)
!      A(3,1) = A(3,1)/A(1,1)
!      A(3,2) = A(3,2) - A(3,1)*A(1,2)
!      A(3,3) = A(3,3) - A(3,1)*A(1,3)
!      
!!      IPVT(2)  = 2
!!      IF (ABS(A(3,2))>ABS(A(2,2))) THEN
!!         IPVT(2)  = 3
!!         TMP(2:3) = A(3,2:3)
!!         A(3,2:3) = A(2,2:3)
!!         A(2,2:3) = TMP(2:3)
!!      END IF
!!      IF (ABS(A(2,2)) < t) THEN
!!         info = 1
!!         return
!!      END IF   
!!      
!      A(3,2)   = A(3,2)/A(2,2)
!      A(3,3)   = A(3,3) - A(3,2)*A(2,3)
!      IPVT(3)  = 3
!      
!END SUBROUTINE FAC3
!
!
!! ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
!SUBROUTINE SOL3(Trans,A,IPVT,b)
!! ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
!!     SOL3 solves the system 3x3
!!     A * x = b  or  trans(a) * x = b
!!     using the factors computed by WGEFA.
!!
!!     Trans      = 'N'   to solve  A*x = b ,
!!                = 'T'   to solve  transpose(A)*x = b
!!     LINPACK - LIKE 
!!
!!     Remove comments to use pivoting
!! ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
!
!      CHARACTER     :: Trans
!      REAL(kind=dp) :: a(3,3),b(3)
!      INTEGER       :: IPVT(3)
!!      INTEGER       :: L
!!      REAL(kind=dp) :: TMP
!      
!      SELECT CASE (Trans)
!
!      CASE ('n','N')  !  Solve  A * x = b
!
!!     Solve  L*y = b
!!         L = IPVT(1)
!!         IF (L /= 1) THEN
!!            TMP = B(1); B(1) = B(L); B(L) = TMP
!!         END IF
!         b(2) = b(2)-A(2,1)*b(1)
!         b(3) = b(3)-A(3,1)*b(1)
!         
!!         L = IPVT(2)
!!         IF (L /= 2) THEN
!!            TMP = B(2); B(2) = B(L); B(L) = TMP
!!         END IF
!         b(3) = b(3)-A(3,2)*b(2)
!
!!     Solve  U*x = y
!         b(3) = b(3)/A(3,3)
!         b(2) = (b(2)-A(2,3)*b(3))/A(2,2)
!         b(1) = (b(1)-A(1,3)*b(3)-A(1,2)*b(2))/A(1,1)
!      
!      
!      CASE ('t','T')  !  Solve transpose(A) * x = b
!
!!      Solve transpose(U)*y = b
!         b(1) = b(1)/A(1,1)
!         b(2) = (b(2)-A(1,2)*b(1))/A(2,2)
!         b(3) = (b(3)-A(1,3)*b(1)-A(2,3)*b(2))/A(3,3)
!
!!      Solve transpose(L)*x = y
!         b(2) = b(2)-A(3,2)*b(3)
!!         L = ipvt(2)
!!         IF (L /= 2) THEN
!!            TMP = B(2); B(2) = B(L); B(L) = TMP
!!         END IF
!         b(1) = b(1)-A(3,1)*b(3)-A(2,1)*b(2)
!!         L = ipvt(1)
!!         IF (L /= 1) THEN
!!            TMP = B(1); B(1) = B(L); B(L) = TMP
!!         END IF
!   
!      END SELECT
!
!END SUBROUTINE SOL3

! End of SPARSE_UTIL function
! ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~


! ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
! 
! KppSolve - sparse back substitution
!   Arguments :
!      JVS       - sparse Jacobian of variables
!      X         - Vector for variables
! 
! ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

SUBROUTINE KppSolve ( JVS, X )

! JVS - sparse Jacobian of variables
  REAL(kind=dp) :: JVS(LU_NONZERO)
! X - Vector for variables
  REAL(kind=dp) :: X(NVAR)

  X(30) = X(30)-JVS(156)*X(29)
  X(31) = X(31)-JVS(159)*X(29)
  X(35) = X(35)-JVS(171)*X(34)
  X(37) = X(37)-JVS(176)*X(34)-JVS(177)*X(36)
  X(38) = X(38)-JVS(180)*X(36)
  X(59) = X(59)-JVS(271)*X(30)
  X(62) = X(62)-JVS(290)*X(34)-JVS(291)*X(36)-JVS(292)*X(56)
  X(63) = X(63)-JVS(297)*X(31)-JVS(298)*X(35)-JVS(299)*X(57)
  X(68) = X(68)-JVS(324)*X(22)
  X(72) = X(72)-JVS(348)*X(31)-JVS(349)*X(35)-JVS(350)*X(38)-JVS(351)*X(46)
  X(73) = X(73)-JVS(359)*X(38)-JVS(360)*X(64)
  X(76) = X(76)-JVS(374)*X(28)-JVS(375)*X(42)-JVS(376)*X(56)-JVS(377)*X(62)
  X(78) = X(78)-JVS(388)*X(29)-JVS(389)*X(60)
  X(84) = X(84)-JVS(415)*X(75)
  X(88) = X(88)-JVS(445)*X(46)-JVS(446)*X(72)-JVS(447)*X(76)
  X(89) = X(89)-JVS(454)*X(83)
  X(94) = X(94)-JVS(478)*X(34)-JVS(479)*X(92)
  X(96) = X(96)-JVS(491)*X(59)-JVS(492)*X(60)-JVS(493)*X(78)-JVS(494)*X(92)-JVS(495)*X(94)
  X(99) = X(99)-JVS(514)*X(36)-JVS(515)*X(98)
  X(100) = X(100)-JVS(520)*X(54)-JVS(521)*X(78)-JVS(522)*X(92)-JVS(523)*X(94)-JVS(524)*X(98)-JVS(525)*X(99)
  X(101) = X(101)-JVS(531)*X(61)-JVS(532)*X(92)-JVS(533)*X(94)-JVS(534)*X(98)-JVS(535)*X(99)
  X(105) = X(105)-JVS(558)*X(51)
  X(109) = X(109)-JVS(595)*X(87)
  X(112) = X(112)-JVS(615)*X(47)
  X(114) = X(114)-JVS(628)*X(26)
  X(117) = X(117)-JVS(646)*X(106)-JVS(647)*X(114)
  X(120) = X(120)-JVS(689)*X(119)
  X(121) = X(121)-JVS(695)*X(43)-JVS(696)*X(44)-JVS(697)*X(109)-JVS(698)*X(111)-JVS(699)*X(116)
  X(123) = X(123)-JVS(742)*X(23)-JVS(743)*X(50)
  X(125) = X(125)-JVS(758)*X(116)
  X(127) = X(127)-JVS(774)*X(33)-JVS(775)*X(40)-JVS(776)*X(41)-JVS(777)*X(81)-JVS(778)*X(90)-JVS(779)*X(91)-JVS(780)&
             &*X(116)
  X(128) = X(128)-JVS(788)*X(23)-JVS(789)*X(51)
  X(129) = X(129)-JVS(798)*X(77)-JVS(799)*X(105)-JVS(800)*X(128)
  X(130) = X(130)-JVS(810)*X(24)-JVS(811)*X(57)-JVS(812)*X(60)-JVS(813)*X(63)-JVS(814)*X(64)-JVS(815)*X(73)-JVS(816)&
             &*X(75)-JVS(817)*X(78)-JVS(818)*X(79)-JVS(819)*X(84)-JVS(820)*X(92)-JVS(821)*X(94)-JVS(822)*X(96)-JVS(823)&
             &*X(98)-JVS(824)*X(99)-JVS(825)*X(101)-JVS(826)*X(111)-JVS(827)*X(124)-JVS(828)*X(126)-JVS(829)*X(127)
  X(131) = X(131)-JVS(844)*X(116)
  X(132) = X(132)-JVS(854)*X(71)-JVS(855)*X(120)
  X(133) = X(133)-JVS(865)*X(93)
  X(134) = X(134)-JVS(872)*X(69)-JVS(873)*X(120)
  X(135) = X(135)-JVS(883)*X(71)-JVS(884)*X(116)-JVS(885)*X(124)-JVS(886)*X(126)-JVS(887)*X(132)-JVS(888)*X(133)
  X(137) = X(137)-JVS(911)*X(93)-JVS(912)*X(116)-JVS(913)*X(133)
  X(138) = X(138)-JVS(921)*X(75)-JVS(922)*X(82)-JVS(923)*X(83)-JVS(924)*X(107)-JVS(925)*X(111)-JVS(926)*X(125)-JVS(927)&
             &*X(127)-JVS(928)*X(133)-JVS(929)*X(137)
  X(140) = X(140)-JVS(952)*X(95)-JVS(953)*X(136)
  X(141) = X(141)-JVS(963)*X(44)-JVS(964)*X(58)
  X(144) = X(144)-JVS(992)*X(82)-JVS(993)*X(119)
  X(145) = X(145)-JVS(1003)*X(27)-JVS(1004)*X(67)-JVS(1005)*X(139)
  X(146) = X(146)-JVS(1018)*X(93)-JVS(1019)*X(133)-JVS(1020)*X(137)-JVS(1021)*X(143)
  X(147) = X(147)-JVS(1032)*X(83)-JVS(1033)*X(90)-JVS(1034)*X(91)
  X(148) = X(148)-JVS(1043)*X(48)-JVS(1044)*X(49)-JVS(1045)*X(69)-JVS(1046)*X(75)-JVS(1047)*X(77)-JVS(1048)*X(80)&
             &-JVS(1049)*X(81)-JVS(1050)*X(82)-JVS(1051)*X(86)-JVS(1052)*X(90)-JVS(1053)*X(91)-JVS(1054)*X(95)-JVS(1055)&
             &*X(97)-JVS(1056)*X(104)-JVS(1057)*X(112)-JVS(1058)*X(114)-JVS(1059)*X(115)-JVS(1060)*X(116)-JVS(1061)*X(118)&
             &-JVS(1062)*X(119)-JVS(1063)*X(120)-JVS(1064)*X(122)-JVS(1065)*X(123)-JVS(1066)*X(124)-JVS(1067)*X(125)&
             &-JVS(1068)*X(126)-JVS(1069)*X(127)-JVS(1070)*X(128)-JVS(1071)*X(129)-JVS(1072)*X(130)-JVS(1073)*X(131)&
             &-JVS(1074)*X(132)-JVS(1075)*X(133)-JVS(1076)*X(134)-JVS(1077)*X(135)-JVS(1078)*X(136)-JVS(1079)*X(137)&
             &-JVS(1080)*X(138)-JVS(1081)*X(139)-JVS(1082)*X(140)-JVS(1083)*X(141)-JVS(1084)*X(142)-JVS(1085)*X(143)&
             &-JVS(1086)*X(144)-JVS(1087)*X(145)-JVS(1088)*X(146)-JVS(1089)*X(147)
  X(149) = X(149)-JVS(1114)*X(95)-JVS(1115)*X(104)-JVS(1116)*X(136)
  X(151) = X(151)-JVS(1135)*X(58)-JVS(1136)*X(65)-JVS(1137)*X(67)-JVS(1138)*X(69)-JVS(1139)*X(106)-JVS(1140)*X(120)&
             &-JVS(1141)*X(132)-JVS(1142)*X(134)-JVS(1143)*X(139)-JVS(1144)*X(141)-JVS(1145)*X(142)-JVS(1146)*X(143)&
             &-JVS(1147)*X(145)-JVS(1148)*X(146)-JVS(1149)*X(150)
  X(152) = X(152)-JVS(1167)*X(24)-JVS(1168)*X(55)-JVS(1169)*X(64)-JVS(1170)*X(73)-JVS(1171)*X(75)-JVS(1172)*X(77)&
             &-JVS(1173)*X(79)-JVS(1174)*X(82)-JVS(1175)*X(83)-JVS(1176)*X(84)-JVS(1177)*X(86)-JVS(1178)*X(92)-JVS(1179)&
             &*X(94)-JVS(1180)*X(98)-JVS(1181)*X(99)-JVS(1182)*X(100)-JVS(1183)*X(101)-JVS(1184)*X(110)-JVS(1185)*X(111)&
             &-JVS(1186)*X(113)-JVS(1187)*X(114)-JVS(1188)*X(125)-JVS(1189)*X(127)-JVS(1190)*X(129)-JVS(1191)*X(131)&
             &-JVS(1192)*X(133)-JVS(1193)*X(135)-JVS(1194)*X(136)-JVS(1195)*X(137)-JVS(1196)*X(139)-JVS(1197)*X(142)&
             &-JVS(1198)*X(143)-JVS(1199)*X(144)-JVS(1200)*X(147)-JVS(1201)*X(150)
  X(153) = X(153)-JVS(1222)*X(80)-JVS(1223)*X(115)-JVS(1224)*X(119)
  X(154) = X(154)-JVS(1236)*X(81)-JVS(1237)*X(90)-JVS(1238)*X(91)-JVS(1239)*X(116)-JVS(1240)*X(143)
  X(155) = X(155)-JVS(1251)*X(81)-JVS(1252)*X(90)-JVS(1253)*X(91)-JVS(1254)*X(119)
  X(156) = X(156)-JVS(1263)*X(69)-JVS(1264)*X(75)-JVS(1265)*X(80)-JVS(1266)*X(83)-JVS(1267)*X(89)-JVS(1268)*X(104)&
             &-JVS(1269)*X(107)-JVS(1270)*X(111)-JVS(1271)*X(112)-JVS(1272)*X(114)-JVS(1273)*X(115)-JVS(1274)*X(119)&
             &-JVS(1275)*X(127)-JVS(1276)*X(129)-JVS(1277)*X(131)-JVS(1278)*X(133)-JVS(1279)*X(134)-JVS(1280)*X(137)&
             &-JVS(1281)*X(139)-JVS(1282)*X(140)-JVS(1283)*X(142)-JVS(1284)*X(143)-JVS(1285)*X(147)-JVS(1286)*X(149)&
             &-JVS(1287)*X(150)-JVS(1288)*X(153)-JVS(1289)*X(154)-JVS(1290)*X(155)
  X(157) = X(157)-JVS(1307)*X(43)-JVS(1308)*X(74)-JVS(1309)*X(109)-JVS(1310)*X(111)-JVS(1311)*X(146)-JVS(1312)*X(147)&
             &-JVS(1313)*X(154)-JVS(1314)*X(155)
  X(158) = X(158)-JVS(1325)*X(103)-JVS(1326)*X(119)-JVS(1327)*X(124)-JVS(1328)*X(126)-JVS(1329)*X(150)
  X(159) = X(159)-JVS(1338)*X(103)-JVS(1339)*X(124)-JVS(1340)*X(126)-JVS(1341)*X(136)-JVS(1342)*X(142)-JVS(1343)*X(146)&
             &-JVS(1344)*X(150)-JVS(1345)*X(155)-JVS(1346)*X(157)-JVS(1347)*X(158)
  X(160) = X(160)-JVS(1358)*X(81)-JVS(1359)*X(90)-JVS(1360)*X(91)-JVS(1361)*X(115)-JVS(1362)*X(119)-JVS(1363)*X(155)&
             &-JVS(1364)*X(158)
  X(161) = X(161)-JVS(1375)*X(50)-JVS(1376)*X(71)-JVS(1377)*X(74)-JVS(1378)*X(93)-JVS(1379)*X(103)-JVS(1380)*X(108)&
             &-JVS(1381)*X(109)-JVS(1382)*X(111)-JVS(1383)*X(123)-JVS(1384)*X(124)-JVS(1385)*X(126)-JVS(1386)*X(128)&
             &-JVS(1387)*X(132)-JVS(1388)*X(133)-JVS(1389)*X(134)-JVS(1390)*X(136)-JVS(1391)*X(137)-JVS(1392)*X(140)&
             &-JVS(1393)*X(142)-JVS(1394)*X(143)-JVS(1395)*X(144)-JVS(1396)*X(146)-JVS(1397)*X(147)-JVS(1398)*X(149)&
             &-JVS(1399)*X(150)-JVS(1400)*X(153)-JVS(1401)*X(154)-JVS(1402)*X(155)-JVS(1403)*X(157)-JVS(1404)*X(158)&
             &-JVS(1405)*X(159)-JVS(1406)*X(160)
  X(162) = X(162)-JVS(1419)*X(81)-JVS(1420)*X(90)-JVS(1421)*X(91)-JVS(1422)*X(102)-JVS(1423)*X(119)-JVS(1424)*X(155)&
             &-JVS(1425)*X(158)
  X(163) = X(163)-JVS(1436)*X(22)-JVS(1437)*X(23)-JVS(1438)*X(24)-JVS(1439)*X(29)-JVS(1440)*X(31)-JVS(1441)*X(32)&
             &-JVS(1442)*X(33)-JVS(1443)*X(34)-JVS(1444)*X(35)-JVS(1445)*X(36)-JVS(1446)*X(38)-JVS(1447)*X(39)-JVS(1448)&
             &*X(40)-JVS(1449)*X(41)-JVS(1450)*X(42)-JVS(1451)*X(43)-JVS(1452)*X(44)-JVS(1453)*X(45)-JVS(1454)*X(46)&
             &-JVS(1455)*X(49)-JVS(1456)*X(50)-JVS(1457)*X(51)-JVS(1458)*X(52)-JVS(1459)*X(53)-JVS(1460)*X(56)-JVS(1461)&
             &*X(57)-JVS(1462)*X(58)-JVS(1463)*X(60)-JVS(1464)*X(62)-JVS(1465)*X(63)-JVS(1466)*X(64)-JVS(1467)*X(65)&
             &-JVS(1468)*X(67)-JVS(1469)*X(69)-JVS(1470)*X(70)-JVS(1471)*X(71)-JVS(1472)*X(73)-JVS(1473)*X(74)-JVS(1474)&
             &*X(75)-JVS(1475)*X(76)-JVS(1476)*X(77)-JVS(1477)*X(78)-JVS(1478)*X(79)-JVS(1479)*X(80)-JVS(1480)*X(81)&
             &-JVS(1481)*X(82)-JVS(1482)*X(83)-JVS(1483)*X(84)-JVS(1484)*X(85)-JVS(1485)*X(86)-JVS(1486)*X(87)-JVS(1487)&
             &*X(88)-JVS(1488)*X(89)-JVS(1489)*X(90)-JVS(1490)*X(91)-JVS(1491)*X(92)-JVS(1492)*X(93)-JVS(1493)*X(94)&
             &-JVS(1494)*X(95)-JVS(1495)*X(97)-JVS(1496)*X(98)-JVS(1497)*X(99)-JVS(1498)*X(100)-JVS(1499)*X(101)-JVS(1500)&
             &*X(102)-JVS(1501)*X(103)-JVS(1502)*X(104)-JVS(1503)*X(105)-JVS(1504)*X(106)-JVS(1505)*X(107)-JVS(1506)*X(108)&
             &-JVS(1507)*X(109)-JVS(1508)*X(110)-JVS(1509)*X(111)-JVS(1510)*X(112)-JVS(1511)*X(113)-JVS(1512)*X(114)&
             &-JVS(1513)*X(115)-JVS(1514)*X(116)-JVS(1515)*X(117)-JVS(1516)*X(118)-JVS(1517)*X(119)-JVS(1518)*X(120)&
             &-JVS(1519)*X(121)-JVS(1520)*X(122)-JVS(1521)*X(123)-JVS(1522)*X(124)-JVS(1523)*X(125)-JVS(1524)*X(126)&
             &-JVS(1525)*X(127)-JVS(1526)*X(128)-JVS(1527)*X(129)-JVS(1528)*X(130)-JVS(1529)*X(131)-JVS(1530)*X(132)&
             &-JVS(1531)*X(133)-JVS(1532)*X(134)-JVS(1533)*X(135)-JVS(1534)*X(136)-JVS(1535)*X(137)-JVS(1536)*X(138)&
             &-JVS(1537)*X(139)-JVS(1538)*X(140)-JVS(1539)*X(141)-JVS(1540)*X(142)-JVS(1541)*X(143)-JVS(1542)*X(144)&
             &-JVS(1543)*X(145)-JVS(1544)*X(146)-JVS(1545)*X(147)-JVS(1546)*X(148)-JVS(1547)*X(149)-JVS(1548)*X(150)&
             &-JVS(1549)*X(151)-JVS(1550)*X(152)-JVS(1551)*X(153)-JVS(1552)*X(154)-JVS(1553)*X(155)-JVS(1554)*X(156)&
             &-JVS(1555)*X(157)-JVS(1556)*X(158)-JVS(1557)*X(159)-JVS(1558)*X(160)-JVS(1559)*X(161)-JVS(1560)*X(162)
  X(164) = X(164)-JVS(1571)*X(37)-JVS(1572)*X(45)-JVS(1573)*X(55)-JVS(1574)*X(66)-JVS(1575)*X(75)-JVS(1576)*X(77)&
             &-JVS(1577)*X(82)-JVS(1578)*X(86)-JVS(1579)*X(95)-JVS(1580)*X(98)-JVS(1581)*X(99)-JVS(1582)*X(104)-JVS(1583)&
             &*X(105)-JVS(1584)*X(112)-JVS(1585)*X(113)-JVS(1586)*X(119)-JVS(1587)*X(123)-JVS(1588)*X(125)-JVS(1589)*X(127)&
             &-JVS(1590)*X(128)-JVS(1591)*X(129)-JVS(1592)*X(132)-JVS(1593)*X(133)-JVS(1594)*X(134)-JVS(1595)*X(136)&
             &-JVS(1596)*X(137)-JVS(1597)*X(139)-JVS(1598)*X(140)-JVS(1599)*X(141)-JVS(1600)*X(142)-JVS(1601)*X(143)&
             &-JVS(1602)*X(144)-JVS(1603)*X(145)-JVS(1604)*X(146)-JVS(1605)*X(147)-JVS(1606)*X(149)-JVS(1607)*X(150)&
             &-JVS(1608)*X(151)-JVS(1609)*X(152)-JVS(1610)*X(153)-JVS(1611)*X(154)-JVS(1612)*X(155)-JVS(1613)*X(156)&
             &-JVS(1614)*X(157)-JVS(1615)*X(158)-JVS(1616)*X(159)-JVS(1617)*X(160)-JVS(1618)*X(161)-JVS(1619)*X(162)&
             &-JVS(1620)*X(163)
  X(165) = X(165)-JVS(1630)*X(32)-JVS(1631)*X(62)-JVS(1632)*X(63)-JVS(1633)*X(68)-JVS(1634)*X(73)-JVS(1635)*X(76)&
             &-JVS(1636)*X(78)-JVS(1637)*X(79)-JVS(1638)*X(84)-JVS(1639)*X(88)-JVS(1640)*X(94)-JVS(1641)*X(96)-JVS(1642)&
             &*X(98)-JVS(1643)*X(99)-JVS(1644)*X(100)-JVS(1645)*X(101)-JVS(1646)*X(102)-JVS(1647)*X(106)-JVS(1648)*X(107)&
             &-JVS(1649)*X(109)-JVS(1650)*X(110)-JVS(1651)*X(111)-JVS(1652)*X(113)-JVS(1653)*X(114)-JVS(1654)*X(115)&
             &-JVS(1655)*X(118)-JVS(1656)*X(119)-JVS(1657)*X(120)-JVS(1658)*X(123)-JVS(1659)*X(124)-JVS(1660)*X(126)&
             &-JVS(1661)*X(127)-JVS(1662)*X(128)-JVS(1663)*X(129)-JVS(1664)*X(131)-JVS(1665)*X(132)-JVS(1666)*X(133)&
             &-JVS(1667)*X(134)-JVS(1668)*X(136)-JVS(1669)*X(137)-JVS(1670)*X(139)-JVS(1671)*X(140)-JVS(1672)*X(141)&
             &-JVS(1673)*X(142)-JVS(1674)*X(143)-JVS(1675)*X(144)-JVS(1676)*X(145)-JVS(1677)*X(146)-JVS(1678)*X(147)&
             &-JVS(1679)*X(149)-JVS(1680)*X(150)-JVS(1681)*X(153)-JVS(1682)*X(154)-JVS(1683)*X(155)-JVS(1684)*X(157)&
             &-JVS(1685)*X(158)-JVS(1686)*X(159)-JVS(1687)*X(160)-JVS(1688)*X(161)-JVS(1689)*X(162)-JVS(1690)*X(163)&
             &-JVS(1691)*X(164)
  X(166) = X(166)-JVS(1700)*X(30)-JVS(1701)*X(37)-JVS(1702)*X(55)-JVS(1703)*X(61)-JVS(1704)*X(75)-JVS(1705)*X(79)&
             &-JVS(1706)*X(80)-JVS(1707)*X(83)-JVS(1708)*X(86)-JVS(1709)*X(89)-JVS(1710)*X(92)-JVS(1711)*X(94)-JVS(1712)&
             &*X(96)-JVS(1713)*X(97)-JVS(1714)*X(98)-JVS(1715)*X(99)-JVS(1716)*X(100)-JVS(1717)*X(101)-JVS(1718)*X(102)&
             &-JVS(1719)*X(104)-JVS(1720)*X(105)-JVS(1721)*X(106)-JVS(1722)*X(107)-JVS(1723)*X(110)-JVS(1724)*X(112)&
             &-JVS(1725)*X(113)-JVS(1726)*X(115)-JVS(1727)*X(116)-JVS(1728)*X(118)-JVS(1729)*X(119)-JVS(1730)*X(120)&
             &-JVS(1731)*X(127)-JVS(1732)*X(128)-JVS(1733)*X(130)-JVS(1734)*X(131)-JVS(1735)*X(133)-JVS(1736)*X(135)&
             &-JVS(1737)*X(136)-JVS(1738)*X(137)-JVS(1739)*X(138)-JVS(1740)*X(139)-JVS(1741)*X(143)-JVS(1742)*X(144)&
             &-JVS(1743)*X(147)-JVS(1744)*X(148)-JVS(1745)*X(149)-JVS(1746)*X(150)-JVS(1747)*X(151)-JVS(1748)*X(152)&
             &-JVS(1749)*X(153)-JVS(1750)*X(154)-JVS(1751)*X(155)-JVS(1752)*X(156)-JVS(1753)*X(157)-JVS(1754)*X(158)&
             &-JVS(1755)*X(159)-JVS(1756)*X(160)-JVS(1757)*X(161)-JVS(1758)*X(162)-JVS(1759)*X(163)-JVS(1760)*X(164)&
             &-JVS(1761)*X(165)
  X(167) = X(167)-JVS(1769)*X(29)-JVS(1770)*X(30)-JVS(1771)*X(31)-JVS(1772)*X(34)-JVS(1773)*X(35)-JVS(1774)*X(36)&
             &-JVS(1775)*X(37)-JVS(1776)*X(38)-JVS(1777)*X(48)-JVS(1778)*X(49)-JVS(1779)*X(50)-JVS(1780)*X(51)-JVS(1781)&
             &*X(52)-JVS(1782)*X(53)-JVS(1783)*X(54)-JVS(1784)*X(55)-JVS(1785)*X(56)-JVS(1786)*X(57)-JVS(1787)*X(58)&
             &-JVS(1788)*X(59)-JVS(1789)*X(60)-JVS(1790)*X(61)-JVS(1791)*X(62)-JVS(1792)*X(63)-JVS(1793)*X(64)-JVS(1794)&
             &*X(65)-JVS(1795)*X(67)-JVS(1796)*X(69)-JVS(1797)*X(70)-JVS(1798)*X(71)-JVS(1799)*X(73)-JVS(1800)*X(74)&
             &-JVS(1801)*X(75)-JVS(1802)*X(76)-JVS(1803)*X(78)-JVS(1804)*X(79)-JVS(1805)*X(80)-JVS(1806)*X(81)-JVS(1807)&
             &*X(82)-JVS(1808)*X(83)-JVS(1809)*X(84)-JVS(1810)*X(85)-JVS(1811)*X(86)-JVS(1812)*X(87)-JVS(1813)*X(88)&
             &-JVS(1814)*X(89)-JVS(1815)*X(90)-JVS(1816)*X(91)-JVS(1817)*X(92)-JVS(1818)*X(93)-JVS(1819)*X(94)-JVS(1820)&
             &*X(96)-JVS(1821)*X(97)-JVS(1822)*X(98)-JVS(1823)*X(99)-JVS(1824)*X(100)-JVS(1825)*X(101)-JVS(1826)*X(102)&
             &-JVS(1827)*X(103)-JVS(1828)*X(106)-JVS(1829)*X(107)-JVS(1830)*X(108)-JVS(1831)*X(109)-JVS(1832)*X(110)&
             &-JVS(1833)*X(111)-JVS(1834)*X(112)-JVS(1835)*X(113)-JVS(1836)*X(114)-JVS(1837)*X(115)-JVS(1838)*X(116)&
             &-JVS(1839)*X(118)-JVS(1840)*X(119)-JVS(1841)*X(120)-JVS(1842)*X(122)-JVS(1843)*X(123)-JVS(1844)*X(124)&
             &-JVS(1845)*X(125)-JVS(1846)*X(126)-JVS(1847)*X(127)-JVS(1848)*X(128)-JVS(1849)*X(129)-JVS(1850)*X(130)&
             &-JVS(1851)*X(131)-JVS(1852)*X(132)-JVS(1853)*X(133)-JVS(1854)*X(134)-JVS(1855)*X(136)-JVS(1856)*X(137)&
             &-JVS(1857)*X(138)-JVS(1858)*X(139)-JVS(1859)*X(140)-JVS(1860)*X(141)-JVS(1861)*X(142)-JVS(1862)*X(143)&
             &-JVS(1863)*X(144)-JVS(1864)*X(145)-JVS(1865)*X(146)-JVS(1866)*X(147)-JVS(1867)*X(148)-JVS(1868)*X(149)&
             &-JVS(1869)*X(150)-JVS(1870)*X(151)-JVS(1871)*X(152)-JVS(1872)*X(153)-JVS(1873)*X(154)-JVS(1874)*X(155)&
             &-JVS(1875)*X(156)-JVS(1876)*X(157)-JVS(1877)*X(158)-JVS(1878)*X(159)-JVS(1879)*X(160)-JVS(1880)*X(161)&
             &-JVS(1881)*X(162)-JVS(1882)*X(163)-JVS(1883)*X(164)-JVS(1884)*X(165)-JVS(1885)*X(166)
  X(168) = X(168)-JVS(1892)*X(25)-JVS(1893)*X(26)-JVS(1894)*X(27)-JVS(1895)*X(28)-JVS(1896)*X(32)-JVS(1897)*X(47)&
             &-JVS(1898)*X(48)-JVS(1899)*X(53)-JVS(1900)*X(62)-JVS(1901)*X(63)-JVS(1902)*X(66)-JVS(1903)*X(68)-JVS(1904)&
             &*X(71)-JVS(1905)*X(72)-JVS(1906)*X(73)-JVS(1907)*X(76)-JVS(1908)*X(78)-JVS(1909)*X(79)-JVS(1910)*X(84)&
             &-JVS(1911)*X(88)-JVS(1912)*X(93)-JVS(1913)*X(94)-JVS(1914)*X(96)-JVS(1915)*X(97)-JVS(1916)*X(98)-JVS(1917)&
             &*X(99)-JVS(1918)*X(100)-JVS(1919)*X(101)-JVS(1920)*X(102)-JVS(1921)*X(103)-JVS(1922)*X(104)-JVS(1923)*X(106)&
             &-JVS(1924)*X(107)-JVS(1925)*X(109)-JVS(1926)*X(110)-JVS(1927)*X(111)-JVS(1928)*X(112)-JVS(1929)*X(113)&
             &-JVS(1930)*X(114)-JVS(1931)*X(115)-JVS(1932)*X(116)-JVS(1933)*X(118)-JVS(1934)*X(119)-JVS(1935)*X(120)&
             &-JVS(1936)*X(121)-JVS(1937)*X(123)-JVS(1938)*X(124)-JVS(1939)*X(125)-JVS(1940)*X(126)-JVS(1941)*X(127)&
             &-JVS(1942)*X(128)-JVS(1943)*X(129)-JVS(1944)*X(130)-JVS(1945)*X(131)-JVS(1946)*X(132)-JVS(1947)*X(133)&
             &-JVS(1948)*X(134)-JVS(1949)*X(135)-JVS(1950)*X(136)-JVS(1951)*X(137)-JVS(1952)*X(138)-JVS(1953)*X(139)&
             &-JVS(1954)*X(140)-JVS(1955)*X(141)-JVS(1956)*X(142)-JVS(1957)*X(143)-JVS(1958)*X(144)-JVS(1959)*X(145)&
             &-JVS(1960)*X(146)-JVS(1961)*X(147)-JVS(1962)*X(148)-JVS(1963)*X(149)-JVS(1964)*X(150)-JVS(1965)*X(151)&
             &-JVS(1966)*X(152)-JVS(1967)*X(153)-JVS(1968)*X(154)-JVS(1969)*X(155)-JVS(1970)*X(156)-JVS(1971)*X(157)&
             &-JVS(1972)*X(158)-JVS(1973)*X(159)-JVS(1974)*X(160)-JVS(1975)*X(161)-JVS(1976)*X(162)-JVS(1977)*X(163)&
             &-JVS(1978)*X(164)-JVS(1979)*X(165)-JVS(1980)*X(166)-JVS(1981)*X(167)
  X(169) = X(169)-JVS(1987)*X(68)-JVS(1988)*X(72)-JVS(1989)*X(87)-JVS(1990)*X(88)-JVS(1991)*X(104)-JVS(1992)*X(116)&
             &-JVS(1993)*X(119)-JVS(1994)*X(120)-JVS(1995)*X(139)-JVS(1996)*X(143)-JVS(1997)*X(145)-JVS(1998)*X(147)&
             &-JVS(1999)*X(149)-JVS(2000)*X(150)-JVS(2001)*X(154)-JVS(2002)*X(155)-JVS(2003)*X(158)-JVS(2004)*X(160)&
             &-JVS(2005)*X(161)-JVS(2006)*X(162)-JVS(2007)*X(163)-JVS(2008)*X(164)-JVS(2009)*X(165)-JVS(2010)*X(166)&
             &-JVS(2011)*X(167)-JVS(2012)*X(168)
  X(170) = X(170)-JVS(2017)*X(25)-JVS(2018)*X(43)-JVS(2019)*X(44)-JVS(2020)*X(48)-JVS(2021)*X(53)-JVS(2022)*X(66)&
             &-JVS(2023)*X(68)-JVS(2024)*X(102)-JVS(2025)*X(104)-JVS(2026)*X(106)-JVS(2027)*X(107)-JVS(2028)*X(110)&
             &-JVS(2029)*X(112)-JVS(2030)*X(113)-JVS(2031)*X(114)-JVS(2032)*X(115)-JVS(2033)*X(118)-JVS(2034)*X(119)&
             &-JVS(2035)*X(120)-JVS(2036)*X(121)-JVS(2037)*X(125)-JVS(2038)*X(126)-JVS(2039)*X(130)-JVS(2040)*X(131)&
             &-JVS(2041)*X(133)-JVS(2042)*X(137)-JVS(2043)*X(138)-JVS(2044)*X(139)-JVS(2045)*X(140)-JVS(2046)*X(143)&
             &-JVS(2047)*X(144)-JVS(2048)*X(147)-JVS(2049)*X(148)-JVS(2050)*X(149)-JVS(2051)*X(150)-JVS(2052)*X(151)&
             &-JVS(2053)*X(152)-JVS(2054)*X(153)-JVS(2055)*X(154)-JVS(2056)*X(155)-JVS(2057)*X(156)-JVS(2058)*X(157)&
             &-JVS(2059)*X(158)-JVS(2060)*X(159)-JVS(2061)*X(160)-JVS(2062)*X(161)-JVS(2063)*X(162)-JVS(2064)*X(163)&
             &-JVS(2065)*X(164)-JVS(2066)*X(165)-JVS(2067)*X(166)-JVS(2068)*X(167)-JVS(2069)*X(168)-JVS(2070)*X(169)
  X(171) = X(171)-JVS(2074)*X(39)-JVS(2075)*X(45)-JVS(2076)*X(48)-JVS(2077)*X(49)-JVS(2078)*X(66)-JVS(2079)*X(100)&
             &-JVS(2080)*X(101)-JVS(2081)*X(105)-JVS(2082)*X(112)-JVS(2083)*X(113)-JVS(2084)*X(117)-JVS(2085)*X(119)&
             &-JVS(2086)*X(120)-JVS(2087)*X(123)-JVS(2088)*X(124)-JVS(2089)*X(126)-JVS(2090)*X(128)-JVS(2091)*X(129)&
             &-JVS(2092)*X(131)-JVS(2093)*X(132)-JVS(2094)*X(133)-JVS(2095)*X(134)-JVS(2096)*X(135)-JVS(2097)*X(136)&
             &-JVS(2098)*X(137)-JVS(2099)*X(139)-JVS(2100)*X(140)-JVS(2101)*X(141)-JVS(2102)*X(142)-JVS(2103)*X(143)&
             &-JVS(2104)*X(144)-JVS(2105)*X(145)-JVS(2106)*X(146)-JVS(2107)*X(147)-JVS(2108)*X(149)-JVS(2109)*X(150)&
             &-JVS(2110)*X(151)-JVS(2111)*X(153)-JVS(2112)*X(154)-JVS(2113)*X(155)-JVS(2114)*X(156)-JVS(2115)*X(157)&
             &-JVS(2116)*X(158)-JVS(2117)*X(159)-JVS(2118)*X(160)-JVS(2119)*X(161)-JVS(2120)*X(162)-JVS(2121)*X(163)&
             &-JVS(2122)*X(164)-JVS(2123)*X(165)-JVS(2124)*X(166)-JVS(2125)*X(167)-JVS(2126)*X(168)-JVS(2127)*X(169)&
             &-JVS(2128)*X(170)
  X(172) = X(172)-JVS(2131)*X(82)-JVS(2132)*X(87)-JVS(2133)*X(89)-JVS(2134)*X(103)-JVS(2135)*X(124)-JVS(2136)*X(126)&
             &-JVS(2137)*X(140)-JVS(2138)*X(142)-JVS(2139)*X(144)-JVS(2140)*X(147)-JVS(2141)*X(149)-JVS(2142)*X(150)&
             &-JVS(2143)*X(153)-JVS(2144)*X(154)-JVS(2145)*X(155)-JVS(2146)*X(157)-JVS(2147)*X(158)-JVS(2148)*X(159)&
             &-JVS(2149)*X(160)-JVS(2150)*X(162)-JVS(2151)*X(163)-JVS(2152)*X(164)-JVS(2153)*X(165)-JVS(2154)*X(166)&
             &-JVS(2155)*X(167)-JVS(2156)*X(168)-JVS(2157)*X(169)-JVS(2158)*X(170)-JVS(2159)*X(171)
  X(172) = X(172)/JVS(2160)
  X(171) = (X(171)-JVS(2130)*X(172))/(JVS(2129))
  X(170) = (X(170)-JVS(2072)*X(171)-JVS(2073)*X(172))/(JVS(2071))
  X(169) = (X(169)-JVS(2014)*X(170)-JVS(2015)*X(171)-JVS(2016)*X(172))/(JVS(2013))
  X(168) = (X(168)-JVS(1983)*X(169)-JVS(1984)*X(170)-JVS(1985)*X(171)-JVS(1986)*X(172))/(JVS(1982))
  X(167) = (X(167)-JVS(1887)*X(168)-JVS(1888)*X(169)-JVS(1889)*X(170)-JVS(1890)*X(171)-JVS(1891)*X(172))/(JVS(1886))
  X(166) = (X(166)-JVS(1763)*X(167)-JVS(1764)*X(168)-JVS(1765)*X(169)-JVS(1766)*X(170)-JVS(1767)*X(171)-JVS(1768)&
             &*X(172))/(JVS(1762))
  X(165) = (X(165)-JVS(1693)*X(166)-JVS(1694)*X(167)-JVS(1695)*X(168)-JVS(1696)*X(169)-JVS(1697)*X(170)-JVS(1698)*X(171)&
             &-JVS(1699)*X(172))/(JVS(1692))
  X(164) = (X(164)-JVS(1622)*X(165)-JVS(1623)*X(166)-JVS(1624)*X(167)-JVS(1625)*X(168)-JVS(1626)*X(169)-JVS(1627)*X(170)&
             &-JVS(1628)*X(171)-JVS(1629)*X(172))/(JVS(1621))
  X(163) = (X(163)-JVS(1562)*X(164)-JVS(1563)*X(165)-JVS(1564)*X(166)-JVS(1565)*X(167)-JVS(1566)*X(168)-JVS(1567)*X(169)&
             &-JVS(1568)*X(170)-JVS(1569)*X(171)-JVS(1570)*X(172))/(JVS(1561))
  X(162) = (X(162)-JVS(1427)*X(163)-JVS(1428)*X(164)-JVS(1429)*X(165)-JVS(1430)*X(166)-JVS(1431)*X(167)-JVS(1432)*X(168)&
             &-JVS(1433)*X(169)-JVS(1434)*X(170)-JVS(1435)*X(171))/(JVS(1426))
  X(161) = (X(161)-JVS(1408)*X(162)-JVS(1409)*X(163)-JVS(1410)*X(164)-JVS(1411)*X(165)-JVS(1412)*X(166)-JVS(1413)*X(167)&
             &-JVS(1414)*X(168)-JVS(1415)*X(169)-JVS(1416)*X(170)-JVS(1417)*X(171)-JVS(1418)*X(172))/(JVS(1407))
  X(160) = (X(160)-JVS(1366)*X(163)-JVS(1367)*X(164)-JVS(1368)*X(165)-JVS(1369)*X(166)-JVS(1370)*X(167)-JVS(1371)*X(168)&
             &-JVS(1372)*X(169)-JVS(1373)*X(170)-JVS(1374)*X(171))/(JVS(1365))
  X(159) = (X(159)-JVS(1349)*X(160)-JVS(1350)*X(163)-JVS(1351)*X(164)-JVS(1352)*X(165)-JVS(1353)*X(167)-JVS(1354)*X(169)&
             &-JVS(1355)*X(170)-JVS(1356)*X(171)-JVS(1357)*X(172))/(JVS(1348))
  X(158) = (X(158)-JVS(1331)*X(163)-JVS(1332)*X(164)-JVS(1333)*X(165)-JVS(1334)*X(167)-JVS(1335)*X(169)-JVS(1336)*X(170)&
             &-JVS(1337)*X(171))/(JVS(1330))
  X(157) = (X(157)-JVS(1316)*X(158)-JVS(1317)*X(159)-JVS(1318)*X(163)-JVS(1319)*X(164)-JVS(1320)*X(165)-JVS(1321)*X(167)&
             &-JVS(1322)*X(169)-JVS(1323)*X(170)-JVS(1324)*X(171))/(JVS(1315))
  X(156) = (X(156)-JVS(1292)*X(157)-JVS(1293)*X(158)-JVS(1294)*X(159)-JVS(1295)*X(160)-JVS(1296)*X(162)-JVS(1297)*X(163)&
             &-JVS(1298)*X(164)-JVS(1299)*X(165)-JVS(1300)*X(166)-JVS(1301)*X(167)-JVS(1302)*X(168)-JVS(1303)*X(169)&
             &-JVS(1304)*X(170)-JVS(1305)*X(171)-JVS(1306)*X(172))/(JVS(1291))
  X(155) = (X(155)-JVS(1256)*X(163)-JVS(1257)*X(164)-JVS(1258)*X(165)-JVS(1259)*X(167)-JVS(1260)*X(169)-JVS(1261)*X(170)&
             &-JVS(1262)*X(171))/(JVS(1255))
  X(154) = (X(154)-JVS(1242)*X(155)-JVS(1243)*X(158)-JVS(1244)*X(163)-JVS(1245)*X(164)-JVS(1246)*X(165)-JVS(1247)*X(167)&
             &-JVS(1248)*X(169)-JVS(1249)*X(170)-JVS(1250)*X(171))/(JVS(1241))
  X(153) = (X(153)-JVS(1226)*X(160)-JVS(1227)*X(163)-JVS(1228)*X(164)-JVS(1229)*X(165)-JVS(1230)*X(166)-JVS(1231)*X(167)&
             &-JVS(1232)*X(168)-JVS(1233)*X(169)-JVS(1234)*X(170)-JVS(1235)*X(171))/(JVS(1225))
  X(152) = (X(152)-JVS(1203)*X(153)-JVS(1204)*X(154)-JVS(1205)*X(155)-JVS(1206)*X(156)-JVS(1207)*X(157)-JVS(1208)*X(158)&
             &-JVS(1209)*X(159)-JVS(1210)*X(160)-JVS(1211)*X(162)-JVS(1212)*X(163)-JVS(1213)*X(164)-JVS(1214)*X(165)&
             &-JVS(1215)*X(166)-JVS(1216)*X(167)-JVS(1217)*X(168)-JVS(1218)*X(169)-JVS(1219)*X(170)-JVS(1220)*X(171)&
             &-JVS(1221)*X(172))/(JVS(1202))
  X(151) = (X(151)-JVS(1151)*X(155)-JVS(1152)*X(157)-JVS(1153)*X(158)-JVS(1154)*X(159)-JVS(1155)*X(161)-JVS(1156)*X(162)&
             &-JVS(1157)*X(163)-JVS(1158)*X(164)-JVS(1159)*X(165)-JVS(1160)*X(166)-JVS(1161)*X(167)-JVS(1162)*X(168)&
             &-JVS(1163)*X(169)-JVS(1164)*X(170)-JVS(1165)*X(171)-JVS(1166)*X(172))/(JVS(1150))
  X(150) = (X(150)-JVS(1128)*X(158)-JVS(1129)*X(163)-JVS(1130)*X(164)-JVS(1131)*X(165)-JVS(1132)*X(169)-JVS(1133)*X(170)&
             &-JVS(1134)*X(171))/(JVS(1127))
  X(149) = (X(149)-JVS(1118)*X(160)-JVS(1119)*X(163)-JVS(1120)*X(164)-JVS(1121)*X(165)-JVS(1122)*X(167)-JVS(1123)*X(168)&
             &-JVS(1124)*X(169)-JVS(1125)*X(170)-JVS(1126)*X(171))/(JVS(1117))
  X(148) = (X(148)-JVS(1091)*X(149)-JVS(1092)*X(150)-JVS(1093)*X(151)-JVS(1094)*X(153)-JVS(1095)*X(154)-JVS(1096)*X(155)&
             &-JVS(1097)*X(156)-JVS(1098)*X(157)-JVS(1099)*X(158)-JVS(1100)*X(159)-JVS(1101)*X(160)-JVS(1102)*X(161)&
             &-JVS(1103)*X(162)-JVS(1104)*X(163)-JVS(1105)*X(164)-JVS(1106)*X(165)-JVS(1107)*X(166)-JVS(1108)*X(167)&
             &-JVS(1109)*X(168)-JVS(1110)*X(169)-JVS(1111)*X(170)-JVS(1112)*X(171)-JVS(1113)*X(172))/(JVS(1090))
  X(147) = (X(147)-JVS(1036)*X(154)-JVS(1037)*X(155)-JVS(1038)*X(163)-JVS(1039)*X(164)-JVS(1040)*X(165)-JVS(1041)*X(167)&
             &-JVS(1042)*X(171))/(JVS(1035))
  X(146) = (X(146)-JVS(1023)*X(155)-JVS(1024)*X(158)-JVS(1025)*X(159)-JVS(1026)*X(163)-JVS(1027)*X(164)-JVS(1028)*X(165)&
             &-JVS(1029)*X(167)-JVS(1030)*X(169)-JVS(1031)*X(171))/(JVS(1022))
  X(145) = (X(145)-JVS(1007)*X(150)-JVS(1008)*X(161)-JVS(1009)*X(162)-JVS(1010)*X(163)-JVS(1011)*X(164)-JVS(1012)*X(165)&
             &-JVS(1013)*X(167)-JVS(1014)*X(168)-JVS(1015)*X(170)-JVS(1016)*X(171)-JVS(1017)*X(172))/(JVS(1006))
  X(144) = (X(144)-JVS(995)*X(162)-JVS(996)*X(163)-JVS(997)*X(164)-JVS(998)*X(165)-JVS(999)*X(167)-JVS(1000)*X(169)&
             &-JVS(1001)*X(170)-JVS(1002)*X(171))/(JVS(994))
  X(143) = (X(143)-JVS(986)*X(155)-JVS(987)*X(158)-JVS(988)*X(163)-JVS(989)*X(165)-JVS(990)*X(169)-JVS(991)*X(171))&
             &/(JVS(985))
  X(142) = (X(142)-JVS(978)*X(163)-JVS(979)*X(164)-JVS(980)*X(165)-JVS(981)*X(167)-JVS(982)*X(170)-JVS(983)*X(171)&
             &-JVS(984)*X(172))/(JVS(977))
  X(141) = (X(141)-JVS(966)*X(145)-JVS(967)*X(157)-JVS(968)*X(159)-JVS(969)*X(161)-JVS(970)*X(163)-JVS(971)*X(164)&
             &-JVS(972)*X(165)-JVS(973)*X(167)-JVS(974)*X(170)-JVS(975)*X(171)-JVS(976)*X(172))/(JVS(965))
  X(140) = (X(140)-JVS(955)*X(149)-JVS(956)*X(160)-JVS(957)*X(163)-JVS(958)*X(164)-JVS(959)*X(165)-JVS(960)*X(167)&
             &-JVS(961)*X(170)-JVS(962)*X(171))/(JVS(954))
  X(139) = (X(139)-JVS(946)*X(150)-JVS(947)*X(163)-JVS(948)*X(165)-JVS(949)*X(167)-JVS(950)*X(168)-JVS(951)*X(170))&
             &/(JVS(945))
  X(138) = (X(138)-JVS(931)*X(143)-JVS(932)*X(144)-JVS(933)*X(147)-JVS(934)*X(150)-JVS(935)*X(154)-JVS(936)*X(155)&
             &-JVS(937)*X(163)-JVS(938)*X(164)-JVS(939)*X(165)-JVS(940)*X(166)-JVS(941)*X(167)-JVS(942)*X(168)-JVS(943)&
             &*X(169)-JVS(944)*X(171))/(JVS(930))
  X(137) = (X(137)-JVS(915)*X(143)-JVS(916)*X(155)-JVS(917)*X(163)-JVS(918)*X(165)-JVS(919)*X(167)-JVS(920)*X(169))&
             &/(JVS(914))
  X(136) = (X(136)-JVS(905)*X(160)-JVS(906)*X(164)-JVS(907)*X(165)-JVS(908)*X(167)-JVS(909)*X(170)-JVS(910)*X(171))&
             &/(JVS(904))
  X(135) = (X(135)-JVS(890)*X(136)-JVS(891)*X(137)-JVS(892)*X(139)-JVS(893)*X(143)-JVS(894)*X(150)-JVS(895)*X(155)&
             &-JVS(896)*X(162)-JVS(897)*X(163)-JVS(898)*X(164)-JVS(899)*X(165)-JVS(900)*X(167)-JVS(901)*X(169)-JVS(902)&
             &*X(170)-JVS(903)*X(171))/(JVS(889))
  X(134) = (X(134)-JVS(875)*X(162)-JVS(876)*X(163)-JVS(877)*X(164)-JVS(878)*X(165)-JVS(879)*X(167)-JVS(880)*X(169)&
             &-JVS(881)*X(170)-JVS(882)*X(171))/(JVS(874))
  X(133) = (X(133)-JVS(867)*X(137)-JVS(868)*X(143)-JVS(869)*X(163)-JVS(870)*X(165)-JVS(871)*X(167))/(JVS(866))
  X(132) = (X(132)-JVS(857)*X(162)-JVS(858)*X(163)-JVS(859)*X(164)-JVS(860)*X(165)-JVS(861)*X(167)-JVS(862)*X(169)&
             &-JVS(863)*X(170)-JVS(864)*X(171))/(JVS(856))
  X(131) = (X(131)-JVS(846)*X(133)-JVS(847)*X(137)-JVS(848)*X(153)-JVS(849)*X(155)-JVS(850)*X(163)-JVS(851)*X(165)&
             &-JVS(852)*X(167)-JVS(853)*X(169))/(JVS(845))
  X(130) = (X(130)-JVS(831)*X(138)-JVS(832)*X(143)-JVS(833)*X(147)-JVS(834)*X(150)-JVS(835)*X(155)-JVS(836)*X(163)&
             &-JVS(837)*X(164)-JVS(838)*X(165)-JVS(839)*X(167)-JVS(840)*X(168)-JVS(841)*X(169)-JVS(842)*X(170)-JVS(843)&
             &*X(171))/(JVS(830))
  X(129) = (X(129)-JVS(802)*X(142)-JVS(803)*X(157)-JVS(804)*X(159)-JVS(805)*X(163)-JVS(806)*X(164)-JVS(807)*X(165)&
             &-JVS(808)*X(167)-JVS(809)*X(171))/(JVS(801))
  X(128) = (X(128)-JVS(791)*X(157)-JVS(792)*X(159)-JVS(793)*X(163)-JVS(794)*X(164)-JVS(795)*X(165)-JVS(796)*X(167)&
             &-JVS(797)*X(171))/(JVS(790))
  X(127) = (X(127)-JVS(782)*X(143)-JVS(783)*X(155)-JVS(784)*X(163)-JVS(785)*X(165)-JVS(786)*X(167)-JVS(787)*X(169))&
             &/(JVS(781))
  X(126) = (X(126)-JVS(769)*X(150)-JVS(770)*X(165)-JVS(771)*X(167)-JVS(772)*X(170)-JVS(773)*X(171))/(JVS(768))
  X(125) = (X(125)-JVS(760)*X(133)-JVS(761)*X(137)-JVS(762)*X(144)-JVS(763)*X(155)-JVS(764)*X(163)-JVS(765)*X(165)&
             &-JVS(766)*X(167)-JVS(767)*X(169))/(JVS(759))
  X(124) = (X(124)-JVS(753)*X(150)-JVS(754)*X(163)-JVS(755)*X(165)-JVS(756)*X(167)-JVS(757)*X(171))/(JVS(752))
  X(123) = (X(123)-JVS(745)*X(157)-JVS(746)*X(159)-JVS(747)*X(163)-JVS(748)*X(164)-JVS(749)*X(165)-JVS(750)*X(167)&
             &-JVS(751)*X(171))/(JVS(744))
  X(122) = (X(122)-JVS(721)*X(123)-JVS(722)*X(124)-JVS(723)*X(126)-JVS(724)*X(128)-JVS(725)*X(129)-JVS(726)*X(132)&
             &-JVS(727)*X(134)-JVS(728)*X(138)-JVS(729)*X(141)-JVS(730)*X(142)-JVS(731)*X(143)-JVS(732)*X(144)-JVS(733)&
             &*X(146)-JVS(734)*X(147)-JVS(735)*X(150)-JVS(736)*X(155)-JVS(737)*X(157)-JVS(738)*X(158)-JVS(739)*X(163)&
             &-JVS(740)*X(169)-JVS(741)*X(171))/(JVS(720))
  X(121) = (X(121)-JVS(701)*X(130)-JVS(702)*X(140)-JVS(703)*X(143)-JVS(704)*X(147)-JVS(705)*X(148)-JVS(706)*X(150)&
             &-JVS(707)*X(151)-JVS(708)*X(152)-JVS(709)*X(155)-JVS(710)*X(160)-JVS(711)*X(161)-JVS(712)*X(163)-JVS(713)&
             &*X(164)-JVS(714)*X(165)-JVS(715)*X(167)-JVS(716)*X(168)-JVS(717)*X(169)-JVS(718)*X(170)-JVS(719)*X(172))&
             &/(JVS(700))
  X(120) = (X(120)-JVS(691)*X(162)-JVS(692)*X(163)-JVS(693)*X(169)-JVS(694)*X(170))/(JVS(690))
  X(119) = (X(119)-JVS(686)*X(163)-JVS(687)*X(169)-JVS(688)*X(170))/(JVS(685))
  X(118) = (X(118)-JVS(677)*X(119)-JVS(678)*X(120)-JVS(679)*X(160)-JVS(680)*X(162)-JVS(681)*X(165)-JVS(682)*X(166)&
             &-JVS(683)*X(168)-JVS(684)*X(169))/(JVS(676))
  X(117) = (X(117)-JVS(649)*X(120)-JVS(650)*X(123)-JVS(651)*X(128)-JVS(652)*X(129)-JVS(653)*X(131)-JVS(654)*X(132)&
             &-JVS(655)*X(134)-JVS(656)*X(136)-JVS(657)*X(140)-JVS(658)*X(141)-JVS(659)*X(142)-JVS(660)*X(144)-JVS(661)&
             &*X(146)-JVS(662)*X(147)-JVS(663)*X(153)-JVS(664)*X(155)-JVS(665)*X(156)-JVS(666)*X(157)-JVS(667)*X(158)&
             &-JVS(668)*X(163)-JVS(669)*X(164)-JVS(670)*X(165)-JVS(671)*X(166)-JVS(672)*X(167)-JVS(673)*X(168)-JVS(674)&
             &*X(169)-JVS(675)*X(171))/(JVS(648))
  X(116) = (X(116)-JVS(642)*X(155)-JVS(643)*X(163)-JVS(644)*X(165)-JVS(645)*X(169))/(JVS(641))
  X(115) = (X(115)-JVS(636)*X(119)-JVS(637)*X(165)-JVS(638)*X(166)-JVS(639)*X(168)-JVS(640)*X(169))/(JVS(635))
  X(114) = (X(114)-JVS(630)*X(131)-JVS(631)*X(163)-JVS(632)*X(165)-JVS(633)*X(167)-JVS(634)*X(168))/(JVS(629))
  X(113) = (X(113)-JVS(623)*X(162)-JVS(624)*X(165)-JVS(625)*X(166)-JVS(626)*X(168)-JVS(627)*X(169))/(JVS(622))
  X(112) = (X(112)-JVS(617)*X(139)-JVS(618)*X(160)-JVS(619)*X(163)-JVS(620)*X(168)-JVS(621)*X(170))/(JVS(616))
  X(111) = (X(111)-JVS(611)*X(155)-JVS(612)*X(164)-JVS(613)*X(165)-JVS(614)*X(167))/(JVS(610))
  X(110) = (X(110)-JVS(604)*X(154)-JVS(605)*X(160)-JVS(606)*X(165)-JVS(607)*X(166)-JVS(608)*X(168)-JVS(609)*X(169))&
             &/(JVS(603))
  X(109) = (X(109)-JVS(597)*X(147)-JVS(598)*X(163)-JVS(599)*X(164)-JVS(600)*X(165)-JVS(601)*X(167)-JVS(602)*X(169))&
             &/(JVS(596))
  X(108) = (X(108)-JVS(581)*X(123)-JVS(582)*X(128)-JVS(583)*X(132)-JVS(584)*X(134)-JVS(585)*X(140)-JVS(586)*X(142)&
             &-JVS(587)*X(144)-JVS(588)*X(146)-JVS(589)*X(147)-JVS(590)*X(153)-JVS(591)*X(155)-JVS(592)*X(157)-JVS(593)&
             &*X(163)-JVS(594)*X(171))/(JVS(580))
  X(107) = (X(107)-JVS(575)*X(154)-JVS(576)*X(165)-JVS(577)*X(166)-JVS(578)*X(168)-JVS(579)*X(169))/(JVS(574))
  X(106) = (X(106)-JVS(569)*X(120)-JVS(570)*X(165)-JVS(571)*X(166)-JVS(572)*X(168)-JVS(573)*X(169))/(JVS(568))
  X(105) = (X(105)-JVS(560)*X(128)-JVS(561)*X(157)-JVS(562)*X(159)-JVS(563)*X(163)-JVS(564)*X(164)-JVS(565)*X(165)&
             &-JVS(566)*X(167)-JVS(567)*X(171))/(JVS(559))
  X(104) = (X(104)-JVS(554)*X(149)-JVS(555)*X(163)-JVS(556)*X(168)-JVS(557)*X(169))/(JVS(553))
  X(103) = (X(103)-JVS(548)*X(124)-JVS(549)*X(126)-JVS(550)*X(158)-JVS(551)*X(163)-JVS(552)*X(167))/(JVS(547))
  X(102) = (X(102)-JVS(542)*X(119)-JVS(543)*X(165)-JVS(544)*X(166)-JVS(545)*X(168)-JVS(546)*X(169))/(JVS(541))
  X(101) = (X(101)-JVS(537)*X(163)-JVS(538)*X(165)-JVS(539)*X(167)-JVS(540)*X(168))/(JVS(536))
  X(100) = (X(100)-JVS(527)*X(163)-JVS(528)*X(165)-JVS(529)*X(167)-JVS(530)*X(168))/(JVS(526))
  X(99) = (X(99)-JVS(517)*X(163)-JVS(518)*X(165)-JVS(519)*X(167))/(JVS(516))
  X(98) = (X(98)-JVS(511)*X(99)-JVS(512)*X(163)-JVS(513)*X(167))/(JVS(510))
  X(97) = (X(97)-JVS(504)*X(133)-JVS(505)*X(143)-JVS(506)*X(163)-JVS(507)*X(165)-JVS(508)*X(167)-JVS(509)*X(169))&
            &/(JVS(503))
  X(96) = (X(96)-JVS(497)*X(98)-JVS(498)*X(99)-JVS(499)*X(163)-JVS(500)*X(165)-JVS(501)*X(167)-JVS(502)*X(168))&
            &/(JVS(496))
  X(95) = (X(95)-JVS(485)*X(136)-JVS(486)*X(149)-JVS(487)*X(160)-JVS(488)*X(163)-JVS(489)*X(167)-JVS(490)*X(170))&
            &/(JVS(484))
  X(94) = (X(94)-JVS(481)*X(163)-JVS(482)*X(165)-JVS(483)*X(167))/(JVS(480))
  X(93) = (X(93)-JVS(474)*X(133)-JVS(475)*X(137)-JVS(476)*X(163)-JVS(477)*X(167))/(JVS(473))
  X(92) = (X(92)-JVS(470)*X(94)-JVS(471)*X(163)-JVS(472)*X(167))/(JVS(469))
  X(91) = (X(91)-JVS(466)*X(155)-JVS(467)*X(163)-JVS(468)*X(167))/(JVS(465))
  X(90) = (X(90)-JVS(462)*X(155)-JVS(463)*X(163)-JVS(464)*X(167))/(JVS(461))
  X(89) = (X(89)-JVS(456)*X(147)-JVS(457)*X(163)-JVS(458)*X(164)-JVS(459)*X(165)-JVS(460)*X(167))/(JVS(455))
  X(88) = (X(88)-JVS(449)*X(163)-JVS(450)*X(165)-JVS(451)*X(167)-JVS(452)*X(168)-JVS(453)*X(169))/(JVS(448))
  X(87) = (X(87)-JVS(440)*X(147)-JVS(441)*X(163)-JVS(442)*X(164)-JVS(443)*X(165)-JVS(444)*X(169))/(JVS(439))
  X(86) = (X(86)-JVS(435)*X(127)-JVS(436)*X(163)-JVS(437)*X(165)-JVS(438)*X(167))/(JVS(434))
  X(85) = (X(85)-JVS(422)*X(114)-JVS(423)*X(116)-JVS(424)*X(118)-JVS(425)*X(125)-JVS(426)*X(127)-JVS(427)*X(133)&
            &-JVS(428)*X(138)-JVS(429)*X(156)-JVS(430)*X(163)-JVS(431)*X(165)-JVS(432)*X(167)-JVS(433)*X(169))/(JVS(421))
  X(84) = (X(84)-JVS(417)*X(155)-JVS(418)*X(163)-JVS(419)*X(165)-JVS(420)*X(167))/(JVS(416))
  X(83) = (X(83)-JVS(412)*X(147)-JVS(413)*X(163)-JVS(414)*X(167))/(JVS(411))
  X(82) = (X(82)-JVS(408)*X(144)-JVS(409)*X(163)-JVS(410)*X(167))/(JVS(407))
  X(81) = (X(81)-JVS(404)*X(155)-JVS(405)*X(163)-JVS(406)*X(167))/(JVS(403))
  X(80) = (X(80)-JVS(399)*X(115)-JVS(400)*X(153)-JVS(401)*X(163)-JVS(402)*X(167))/(JVS(398))
  X(79) = (X(79)-JVS(395)*X(155)-JVS(396)*X(165)-JVS(397)*X(167))/(JVS(394))
  X(78) = (X(78)-JVS(391)*X(163)-JVS(392)*X(165)-JVS(393)*X(167))/(JVS(390))
  X(77) = (X(77)-JVS(384)*X(129)-JVS(385)*X(142)-JVS(386)*X(163)-JVS(387)*X(167))/(JVS(383))
  X(76) = (X(76)-JVS(379)*X(163)-JVS(380)*X(165)-JVS(381)*X(167)-JVS(382)*X(168))/(JVS(378))
  X(75) = (X(75)-JVS(372)*X(155)-JVS(373)*X(163))/(JVS(371))
  X(74) = (X(74)-JVS(366)*X(109)-JVS(367)*X(111)-JVS(368)*X(157)-JVS(369)*X(163)-JVS(370)*X(167))/(JVS(365))
  X(73) = (X(73)-JVS(362)*X(163)-JVS(363)*X(165)-JVS(364)*X(167))/(JVS(361))
  X(72) = (X(72)-JVS(353)*X(88)-JVS(354)*X(163)-JVS(355)*X(165)-JVS(356)*X(167)-JVS(357)*X(168)-JVS(358)*X(169))&
            &/(JVS(352))
  X(71) = (X(71)-JVS(345)*X(132)-JVS(346)*X(163)-JVS(347)*X(167))/(JVS(344))
  X(70) = (X(70)-JVS(335)*X(102)-JVS(336)*X(106)-JVS(337)*X(107)-JVS(338)*X(110)-JVS(339)*X(113)-JVS(340)*X(115)&
            &-JVS(341)*X(118)-JVS(342)*X(163)-JVS(343)*X(167))/(JVS(334))
  X(69) = (X(69)-JVS(331)*X(134)-JVS(332)*X(163)-JVS(333)*X(167))/(JVS(330))
  X(68) = (X(68)-JVS(326)*X(165)-JVS(327)*X(168)-JVS(328)*X(169)-JVS(329)*X(170))/(JVS(325))
  X(67) = (X(67)-JVS(320)*X(139)-JVS(321)*X(145)-JVS(322)*X(163)-JVS(323)*X(167))/(JVS(319))
  X(66) = (X(66)-JVS(315)*X(112)-JVS(316)*X(163)-JVS(317)*X(164)-JVS(318)*X(168))/(JVS(314))
  X(65) = (X(65)-JVS(309)*X(141)-JVS(310)*X(143)-JVS(311)*X(163)-JVS(312)*X(169)-JVS(313)*X(171))/(JVS(308))
  X(64) = (X(64)-JVS(305)*X(73)-JVS(306)*X(163)-JVS(307)*X(167))/(JVS(304))
  X(63) = (X(63)-JVS(301)*X(163)-JVS(302)*X(165)-JVS(303)*X(167))/(JVS(300))
  X(62) = (X(62)-JVS(294)*X(163)-JVS(295)*X(165)-JVS(296)*X(167))/(JVS(293))
  X(61) = (X(61)-JVS(285)*X(92)-JVS(286)*X(94)-JVS(287)*X(98)-JVS(288)*X(99)-JVS(289)*X(165))/(JVS(284))
  X(60) = (X(60)-JVS(281)*X(78)-JVS(282)*X(163)-JVS(283)*X(167))/(JVS(280))
  X(59) = (X(59)-JVS(273)*X(60)-JVS(274)*X(92)-JVS(275)*X(94)-JVS(276)*X(98)-JVS(277)*X(99)-JVS(278)*X(163)-JVS(279)&
            &*X(165))/(JVS(272))
  X(58) = (X(58)-JVS(268)*X(141)-JVS(269)*X(163)-JVS(270)*X(167))/(JVS(267))
  X(57) = (X(57)-JVS(264)*X(63)-JVS(265)*X(163)-JVS(266)*X(167))/(JVS(263))
  X(56) = (X(56)-JVS(260)*X(62)-JVS(261)*X(163)-JVS(262)*X(167))/(JVS(259))
  X(55) = (X(55)-JVS(256)*X(98)-JVS(257)*X(99)-JVS(258)*X(165))/(JVS(255))
  X(54) = (X(54)-JVS(249)*X(78)-JVS(250)*X(92)-JVS(251)*X(94)-JVS(252)*X(98)-JVS(253)*X(99)-JVS(254)*X(165))/(JVS(248))
  X(53) = (X(53)-JVS(245)*X(163)-JVS(246)*X(167)-JVS(247)*X(168))/(JVS(244))
  X(52) = (X(52)-JVS(238)*X(83)-JVS(239)*X(130)-JVS(240)*X(147)-JVS(241)*X(148)-JVS(242)*X(163)-JVS(243)*X(171))&
            &/(JVS(237))
  X(51) = (X(51)-JVS(234)*X(128)-JVS(235)*X(163)-JVS(236)*X(167))/(JVS(233))
  X(50) = (X(50)-JVS(230)*X(123)-JVS(231)*X(163)-JVS(232)*X(167))/(JVS(229))
  X(49) = (X(49)-JVS(226)*X(163)-JVS(227)*X(167)-JVS(228)*X(171))/(JVS(225))
  X(48) = (X(48)-JVS(223)*X(168)-JVS(224)*X(171))/(JVS(222))
  X(47) = (X(47)-JVS(217)*X(112)-JVS(218)*X(160)-JVS(219)*X(163)-JVS(220)*X(168)-JVS(221)*X(170))/(JVS(216))
  X(46) = (X(46)-JVS(213)*X(88)-JVS(214)*X(163)-JVS(215)*X(167))/(JVS(212))
  X(45) = (X(45)-JVS(209)*X(163)-JVS(210)*X(164)-JVS(211)*X(167))/(JVS(208))
  X(44) = (X(44)-JVS(206)*X(163)-JVS(207)*X(170))/(JVS(205))
  X(43) = (X(43)-JVS(203)*X(163)-JVS(204)*X(170))/(JVS(202))
  X(42) = (X(42)-JVS(198)*X(56)-JVS(199)*X(62)-JVS(200)*X(163)-JVS(201)*X(165))/(JVS(197))
  X(41) = (X(41)-JVS(193)*X(81)-JVS(194)*X(90)-JVS(195)*X(116)-JVS(196)*X(163))/(JVS(192))
  X(40) = (X(40)-JVS(188)*X(81)-JVS(189)*X(90)-JVS(190)*X(116)-JVS(191)*X(163))/(JVS(187))
  X(39) = (X(39)-JVS(184)*X(120)-JVS(185)*X(163)-JVS(186)*X(169))/(JVS(183))
  X(38) = (X(38)-JVS(182)*X(163))/(JVS(181))
  X(37) = (X(37)-JVS(179)*X(163))/(JVS(178))
  X(36) = (X(36)-JVS(175)*X(163))/(JVS(174))
  X(35) = (X(35)-JVS(173)*X(163))/(JVS(172))
  X(34) = (X(34)-JVS(170)*X(163))/(JVS(169))
  X(33) = (X(33)-JVS(166)*X(91)-JVS(167)*X(143)-JVS(168)*X(163))/(JVS(165))
  X(32) = (X(32)-JVS(163)*X(163)-JVS(164)*X(165))/(JVS(162))
  X(31) = (X(31)-JVS(161)*X(163))/(JVS(160))
  X(30) = (X(30)-JVS(158)*X(163))/(JVS(157))
  X(29) = (X(29)-JVS(155)*X(163))/(JVS(154))
  X(28) = (X(28)-JVS(152)*X(76)-JVS(153)*X(168))/(JVS(151))
  X(27) = (X(27)-JVS(149)*X(145)-JVS(150)*X(168))/(JVS(148))
  X(26) = (X(26)-JVS(146)*X(114)-JVS(147)*X(168))/(JVS(145))
  X(25) = (X(25)-JVS(143)*X(168)-JVS(144)*X(170))/(JVS(142))
  X(24) = (X(24)-JVS(141)*X(79))/(JVS(140))
  X(23) = (X(23)-JVS(139)*X(163))/(JVS(138))
  X(22) = (X(22)-JVS(137)*X(169))/(JVS(136))
  X(21) = (X(21)-JVS(133)*X(94)-JVS(134)*X(99)-JVS(135)*X(165))/(JVS(132))
  X(20) = (X(20)-JVS(128)*X(78)-JVS(129)*X(94)-JVS(130)*X(99)-JVS(131)*X(165))/(JVS(127))
  X(19) = (X(19)-JVS(125)*X(62)-JVS(126)*X(165))/(JVS(124))
  X(18) = (X(18)-JVS(121)*X(34)-JVS(122)*X(36)-JVS(123)*X(163))/(JVS(120))
  X(17) = (X(17)-JVS(118)*X(29)-JVS(119)*X(163))/(JVS(117))
  X(16) = (X(16)-JVS(113)*X(29)-JVS(114)*X(34)-JVS(115)*X(36)-JVS(116)*X(163))/(JVS(112))
  X(15) = (X(15)-JVS(95)*X(64)-JVS(96)*X(73)-JVS(97)*X(77)-JVS(98)*X(92)-JVS(99)*X(94)-JVS(100)*X(98)-JVS(101)*X(99)&
            &-JVS(102)*X(100)-JVS(103)*X(101)-JVS(104)*X(129)-JVS(105)*X(135)-JVS(106)*X(156)-JVS(107)*X(163)-JVS(108)&
            &*X(164)-JVS(109)*X(165)-JVS(110)*X(167)-JVS(111)*X(171))/(JVS(94))
  X(14) = (X(14)-JVS(92)*X(148)-JVS(93)*X(163))/(JVS(91))
  X(13) = (X(13)-JVS(75)*X(57)-JVS(76)*X(60)-JVS(77)*X(63)-JVS(78)*X(64)-JVS(79)*X(73)-JVS(80)*X(78)-JVS(81)*X(92)&
            &-JVS(82)*X(94)-JVS(83)*X(96)-JVS(84)*X(98)-JVS(85)*X(99)-JVS(86)*X(101)-JVS(87)*X(138)-JVS(88)*X(163)-JVS(89)&
            &*X(165)-JVS(90)*X(167))/(JVS(74))
  X(12) = (X(12)-JVS(72)*X(36)-JVS(73)*X(163))/(JVS(71))
  X(11) = (X(11)-JVS(69)*X(34)-JVS(70)*X(163))/(JVS(68))
  X(10) = (X(10)-JVS(66)*X(29)-JVS(67)*X(163))/(JVS(65))
  X(9) = (X(9)-JVS(58)*X(79)-JVS(59)*X(84)-JVS(60)*X(139)-JVS(61)*X(145)-JVS(62)*X(149)-JVS(63)*X(167)-JVS(64)*X(171))&
           &/(JVS(57))
  X(8) = (X(8)-JVS(55)*X(125)-JVS(56)*X(163))/(JVS(54))
  X(7) = (X(7)-JVS(52)*X(119)-JVS(53)*X(170))/(JVS(51))
  X(6) = (X(6)-JVS(49)*X(119)-JVS(50)*X(163))/(JVS(48))
  X(5) = (X(5)-JVS(40)*X(124)-JVS(41)*X(126)-JVS(42)*X(139)-JVS(43)*X(165)-JVS(44)*X(167)-JVS(45)*X(168)-JVS(46)*X(170)&
           &-JVS(47)*X(171))/(JVS(39))
  X(4) = (X(4)-JVS(36)*X(133)-JVS(37)*X(137)-JVS(38)*X(165))/(JVS(35))
  X(3) = (X(3)-JVS(10)*X(75)-JVS(11)*X(80)-JVS(12)*X(85)-JVS(13)*X(87)-JVS(14)*X(97)-JVS(15)*X(109)-JVS(16)*X(112)&
           &-JVS(17)*X(114)-JVS(18)*X(116)-JVS(19)*X(117)-JVS(20)*X(127)-JVS(21)*X(136)-JVS(22)*X(138)-JVS(23)*X(140)&
           &-JVS(24)*X(143)-JVS(25)*X(149)-JVS(26)*X(155)-JVS(27)*X(156)-JVS(28)*X(163)-JVS(29)*X(164)-JVS(30)*X(165)&
           &-JVS(31)*X(166)-JVS(32)*X(167)-JVS(33)*X(169)-JVS(34)*X(171))/(JVS(9))
  X(2) = (X(2)-JVS(5)*X(81)-JVS(6)*X(90)-JVS(7)*X(91)-JVS(8)*X(163))/(JVS(4))
  X(1) = (X(1)-JVS(2)*X(112)-JVS(3)*X(163))/(JVS(1))
      
END SUBROUTINE KppSolve

! End of KppSolve function
! ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~


! ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
! 
! KppSolveTR - sparse, transposed back substitution
!   Arguments :
!      JVS       - sparse Jacobian of variables
!      X         - Vector for variables
!      XX        - Vector for output variables
! 
! ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

SUBROUTINE KppSolveTR ( JVS, X, XX )

! JVS - sparse Jacobian of variables
  REAL(kind=dp) :: JVS(LU_NONZERO)
! X - Vector for variables
  REAL(kind=dp) :: X(NVAR)
! XX - Vector for output variables
  REAL(kind=dp) :: XX(NVAR)

  XX(1) = X(1)/JVS(1)
  XX(2) = X(2)/JVS(4)
  XX(3) = X(3)/JVS(9)
  XX(4) = X(4)/JVS(35)
  XX(5) = X(5)/JVS(39)
  XX(6) = X(6)/JVS(48)
  XX(7) = X(7)/JVS(51)
  XX(8) = X(8)/JVS(54)
  XX(9) = X(9)/JVS(57)
  XX(10) = X(10)/JVS(65)
  XX(11) = X(11)/JVS(68)
  XX(12) = X(12)/JVS(71)
  XX(13) = X(13)/JVS(74)
  XX(14) = X(14)/JVS(91)
  XX(15) = X(15)/JVS(94)
  XX(16) = X(16)/JVS(112)
  XX(17) = X(17)/JVS(117)
  XX(18) = X(18)/JVS(120)
  XX(19) = X(19)/JVS(124)
  XX(20) = X(20)/JVS(127)
  XX(21) = X(21)/JVS(132)
  XX(22) = X(22)/JVS(136)
  XX(23) = X(23)/JVS(138)
  XX(24) = X(24)/JVS(140)
  XX(25) = X(25)/JVS(142)
  XX(26) = X(26)/JVS(145)
  XX(27) = X(27)/JVS(148)
  XX(28) = X(28)/JVS(151)
  XX(29) = (X(29)-JVS(66)*XX(10)-JVS(113)*XX(16)-JVS(118)*XX(17))/(JVS(154))
  XX(30) = X(30)/JVS(157)
  XX(31) = X(31)/JVS(160)
  XX(32) = X(32)/JVS(162)
  XX(33) = X(33)/JVS(165)
  XX(34) = (X(34)-JVS(69)*XX(11)-JVS(114)*XX(16)-JVS(121)*XX(18))/(JVS(169))
  XX(35) = X(35)/JVS(172)
  XX(36) = (X(36)-JVS(72)*XX(12)-JVS(115)*XX(16)-JVS(122)*XX(18))/(JVS(174))
  XX(37) = X(37)/JVS(178)
  XX(38) = X(38)/JVS(181)
  XX(39) = X(39)/JVS(183)
  XX(40) = X(40)/JVS(187)
  XX(41) = X(41)/JVS(192)
  XX(42) = X(42)/JVS(197)
  XX(43) = X(43)/JVS(202)
  XX(44) = X(44)/JVS(205)
  XX(45) = X(45)/JVS(208)
  XX(46) = X(46)/JVS(212)
  XX(47) = X(47)/JVS(216)
  XX(48) = X(48)/JVS(222)
  XX(49) = X(49)/JVS(225)
  XX(50) = X(50)/JVS(229)
  XX(51) = X(51)/JVS(233)
  XX(52) = X(52)/JVS(237)
  XX(53) = X(53)/JVS(244)
  XX(54) = X(54)/JVS(248)
  XX(55) = X(55)/JVS(255)
  XX(56) = (X(56)-JVS(198)*XX(42))/(JVS(259))
  XX(57) = (X(57)-JVS(75)*XX(13))/(JVS(263))
  XX(58) = X(58)/JVS(267)
  XX(59) = X(59)/JVS(272)
  XX(60) = (X(60)-JVS(76)*XX(13)-JVS(273)*XX(59))/(JVS(280))
  XX(61) = X(61)/JVS(284)
  XX(62) = (X(62)-JVS(125)*XX(19)-JVS(199)*XX(42)-JVS(260)*XX(56))/(JVS(293))
  XX(63) = (X(63)-JVS(77)*XX(13)-JVS(264)*XX(57))/(JVS(300))
  XX(64) = (X(64)-JVS(78)*XX(13)-JVS(95)*XX(15))/(JVS(304))
  XX(65) = X(65)/JVS(308)
  XX(66) = X(66)/JVS(314)
  XX(67) = X(67)/JVS(319)
  XX(68) = X(68)/JVS(325)
  XX(69) = X(69)/JVS(330)
  XX(70) = X(70)/JVS(334)
  XX(71) = X(71)/JVS(344)
  XX(72) = X(72)/JVS(352)
  XX(73) = (X(73)-JVS(79)*XX(13)-JVS(96)*XX(15)-JVS(305)*XX(64))/(JVS(361))
  XX(74) = X(74)/JVS(365)
  XX(75) = (X(75)-JVS(10)*XX(3))/(JVS(371))
  XX(76) = (X(76)-JVS(152)*XX(28))/(JVS(378))
  XX(77) = (X(77)-JVS(97)*XX(15))/(JVS(383))
  XX(78) = (X(78)-JVS(80)*XX(13)-JVS(128)*XX(20)-JVS(249)*XX(54)-JVS(281)*XX(60))/(JVS(390))
  XX(79) = (X(79)-JVS(58)*XX(9)-JVS(141)*XX(24))/(JVS(394))
  XX(80) = (X(80)-JVS(11)*XX(3))/(JVS(398))
  XX(81) = (X(81)-JVS(5)*XX(2)-JVS(188)*XX(40)-JVS(193)*XX(41))/(JVS(403))
  XX(82) = X(82)/JVS(407)
  XX(83) = (X(83)-JVS(238)*XX(52))/(JVS(411))
  XX(84) = (X(84)-JVS(59)*XX(9))/(JVS(416))
  XX(85) = (X(85)-JVS(12)*XX(3))/(JVS(421))
  XX(86) = X(86)/JVS(434)
  XX(87) = (X(87)-JVS(13)*XX(3))/(JVS(439))
  XX(88) = (X(88)-JVS(213)*XX(46)-JVS(353)*XX(72))/(JVS(448))
  XX(89) = X(89)/JVS(455)
  XX(90) = (X(90)-JVS(6)*XX(2)-JVS(189)*XX(40)-JVS(194)*XX(41))/(JVS(461))
  XX(91) = (X(91)-JVS(7)*XX(2)-JVS(166)*XX(33))/(JVS(465))
  XX(92) = (X(92)-JVS(81)*XX(13)-JVS(98)*XX(15)-JVS(250)*XX(54)-JVS(274)*XX(59)-JVS(285)*XX(61))/(JVS(469))
  XX(93) = X(93)/JVS(473)
  XX(94) = (X(94)-JVS(82)*XX(13)-JVS(99)*XX(15)-JVS(129)*XX(20)-JVS(133)*XX(21)-JVS(251)*XX(54)-JVS(275)*XX(59)-JVS(286)&
             &*XX(61)-JVS(470)*XX(92))/(JVS(480))
  XX(95) = X(95)/JVS(484)
  XX(96) = (X(96)-JVS(83)*XX(13))/(JVS(496))
  XX(97) = (X(97)-JVS(14)*XX(3))/(JVS(503))
  XX(98) = (X(98)-JVS(84)*XX(13)-JVS(100)*XX(15)-JVS(252)*XX(54)-JVS(256)*XX(55)-JVS(276)*XX(59)-JVS(287)*XX(61)&
             &-JVS(497)*XX(96))/(JVS(510))
  XX(99) = (X(99)-JVS(85)*XX(13)-JVS(101)*XX(15)-JVS(130)*XX(20)-JVS(134)*XX(21)-JVS(253)*XX(54)-JVS(257)*XX(55)&
             &-JVS(277)*XX(59)-JVS(288)*XX(61)-JVS(498)*XX(96)-JVS(511)*XX(98))/(JVS(516))
  XX(100) = (X(100)-JVS(102)*XX(15))/(JVS(526))
  XX(101) = (X(101)-JVS(86)*XX(13)-JVS(103)*XX(15))/(JVS(536))
  XX(102) = (X(102)-JVS(335)*XX(70))/(JVS(541))
  XX(103) = X(103)/JVS(547)
  XX(104) = X(104)/JVS(553)
  XX(105) = X(105)/JVS(559)
  XX(106) = (X(106)-JVS(336)*XX(70))/(JVS(568))
  XX(107) = (X(107)-JVS(337)*XX(70))/(JVS(574))
  XX(108) = X(108)/JVS(580)
  XX(109) = (X(109)-JVS(15)*XX(3)-JVS(366)*XX(74))/(JVS(596))
  XX(110) = (X(110)-JVS(338)*XX(70))/(JVS(603))
  XX(111) = (X(111)-JVS(367)*XX(74))/(JVS(610))
  XX(112) = (X(112)-JVS(2)*XX(1)-JVS(16)*XX(3)-JVS(217)*XX(47)-JVS(315)*XX(66))/(JVS(616))
  XX(113) = (X(113)-JVS(339)*XX(70))/(JVS(622))
  XX(114) = (X(114)-JVS(17)*XX(3)-JVS(146)*XX(26)-JVS(422)*XX(85))/(JVS(629))
  XX(115) = (X(115)-JVS(340)*XX(70)-JVS(399)*XX(80))/(JVS(635))
  XX(116) = (X(116)-JVS(18)*XX(3)-JVS(190)*XX(40)-JVS(195)*XX(41)-JVS(423)*XX(85))/(JVS(641))
  XX(117) = (X(117)-JVS(19)*XX(3))/(JVS(648))
  XX(118) = (X(118)-JVS(341)*XX(70)-JVS(424)*XX(85))/(JVS(676))
  XX(119) = (X(119)-JVS(49)*XX(6)-JVS(52)*XX(7)-JVS(542)*XX(102)-JVS(636)*XX(115)-JVS(677)*XX(118))/(JVS(685))
  XX(120) = (X(120)-JVS(184)*XX(39)-JVS(569)*XX(106)-JVS(649)*XX(117)-JVS(678)*XX(118))/(JVS(690))
  XX(121) = X(121)/JVS(700)
  XX(122) = X(122)/JVS(720)
  XX(123) = (X(123)-JVS(230)*XX(50)-JVS(581)*XX(108)-JVS(650)*XX(117)-JVS(721)*XX(122))/(JVS(744))
  XX(124) = (X(124)-JVS(40)*XX(5)-JVS(548)*XX(103)-JVS(722)*XX(122))/(JVS(752))
  XX(125) = (X(125)-JVS(55)*XX(8)-JVS(425)*XX(85))/(JVS(759))
  XX(126) = (X(126)-JVS(41)*XX(5)-JVS(549)*XX(103)-JVS(723)*XX(122))/(JVS(768))
  XX(127) = (X(127)-JVS(20)*XX(3)-JVS(426)*XX(85)-JVS(435)*XX(86))/(JVS(781))
  XX(128) = (X(128)-JVS(234)*XX(51)-JVS(560)*XX(105)-JVS(582)*XX(108)-JVS(651)*XX(117)-JVS(724)*XX(122))/(JVS(790))
  XX(129) = (X(129)-JVS(104)*XX(15)-JVS(384)*XX(77)-JVS(652)*XX(117)-JVS(725)*XX(122))/(JVS(801))
  XX(130) = (X(130)-JVS(239)*XX(52)-JVS(701)*XX(121))/(JVS(830))
  XX(131) = (X(131)-JVS(630)*XX(114)-JVS(653)*XX(117))/(JVS(845))
  XX(132) = (X(132)-JVS(345)*XX(71)-JVS(583)*XX(108)-JVS(654)*XX(117)-JVS(726)*XX(122))/(JVS(856))
  XX(133) = (X(133)-JVS(36)*XX(4)-JVS(427)*XX(85)-JVS(474)*XX(93)-JVS(504)*XX(97)-JVS(760)*XX(125)-JVS(846)*XX(131))&
              &/(JVS(866))
  XX(134) = (X(134)-JVS(331)*XX(69)-JVS(584)*XX(108)-JVS(655)*XX(117)-JVS(727)*XX(122))/(JVS(874))
  XX(135) = (X(135)-JVS(105)*XX(15))/(JVS(889))
  XX(136) = (X(136)-JVS(21)*XX(3)-JVS(485)*XX(95)-JVS(656)*XX(117)-JVS(890)*XX(135))/(JVS(904))
  XX(137) = (X(137)-JVS(37)*XX(4)-JVS(475)*XX(93)-JVS(761)*XX(125)-JVS(847)*XX(131)-JVS(867)*XX(133)-JVS(891)*XX(135))&
              &/(JVS(914))
  XX(138) = (X(138)-JVS(22)*XX(3)-JVS(87)*XX(13)-JVS(428)*XX(85)-JVS(728)*XX(122)-JVS(831)*XX(130))/(JVS(930))
  XX(139) = (X(139)-JVS(42)*XX(5)-JVS(60)*XX(9)-JVS(320)*XX(67)-JVS(617)*XX(112)-JVS(892)*XX(135))/(JVS(945))
  XX(140) = (X(140)-JVS(23)*XX(3)-JVS(585)*XX(108)-JVS(657)*XX(117)-JVS(702)*XX(121))/(JVS(954))
  XX(141) = (X(141)-JVS(268)*XX(58)-JVS(309)*XX(65)-JVS(658)*XX(117)-JVS(729)*XX(122))/(JVS(965))
  XX(142) = (X(142)-JVS(385)*XX(77)-JVS(586)*XX(108)-JVS(659)*XX(117)-JVS(730)*XX(122)-JVS(802)*XX(129))/(JVS(977))
  XX(143) = (X(143)-JVS(24)*XX(3)-JVS(167)*XX(33)-JVS(310)*XX(65)-JVS(505)*XX(97)-JVS(703)*XX(121)-JVS(731)*XX(122)&
              &-JVS(782)*XX(127)-JVS(832)*XX(130)-JVS(868)*XX(133)-JVS(893)*XX(135)-JVS(915)*XX(137)-JVS(931)*XX(138))&
              &/(JVS(985))
  XX(144) = (X(144)-JVS(408)*XX(82)-JVS(587)*XX(108)-JVS(660)*XX(117)-JVS(732)*XX(122)-JVS(762)*XX(125)-JVS(932)&
              &*XX(138))/(JVS(994))
  XX(145) = (X(145)-JVS(61)*XX(9)-JVS(149)*XX(27)-JVS(321)*XX(67)-JVS(966)*XX(141))/(JVS(1006))
  XX(146) = (X(146)-JVS(588)*XX(108)-JVS(661)*XX(117)-JVS(733)*XX(122))/(JVS(1022))
  XX(147) = (X(147)-JVS(240)*XX(52)-JVS(412)*XX(83)-JVS(440)*XX(87)-JVS(456)*XX(89)-JVS(589)*XX(108)-JVS(597)*XX(109)&
              &-JVS(662)*XX(117)-JVS(704)*XX(121)-JVS(734)*XX(122)-JVS(833)*XX(130)-JVS(933)*XX(138))/(JVS(1035))
  XX(148) = (X(148)-JVS(92)*XX(14)-JVS(241)*XX(52)-JVS(705)*XX(121))/(JVS(1090))
  XX(149) = (X(149)-JVS(25)*XX(3)-JVS(62)*XX(9)-JVS(486)*XX(95)-JVS(554)*XX(104)-JVS(955)*XX(140)-JVS(1091)*XX(148))&
              &/(JVS(1117))
  XX(150) = (X(150)-JVS(706)*XX(121)-JVS(735)*XX(122)-JVS(753)*XX(124)-JVS(769)*XX(126)-JVS(834)*XX(130)-JVS(894)&
              &*XX(135)-JVS(934)*XX(138)-JVS(946)*XX(139)-JVS(1007)*XX(145)-JVS(1092)*XX(148))/(JVS(1127))
  XX(151) = (X(151)-JVS(707)*XX(121)-JVS(1093)*XX(148))/(JVS(1150))
  XX(152) = (X(152)-JVS(708)*XX(121))/(JVS(1202))
  XX(153) = (X(153)-JVS(400)*XX(80)-JVS(590)*XX(108)-JVS(663)*XX(117)-JVS(848)*XX(131)-JVS(1094)*XX(148)-JVS(1203)&
              &*XX(152))/(JVS(1225))
  XX(154) = (X(154)-JVS(575)*XX(107)-JVS(604)*XX(110)-JVS(935)*XX(138)-JVS(1036)*XX(147)-JVS(1095)*XX(148)-JVS(1204)&
              &*XX(152))/(JVS(1241))
  XX(155) = (X(155)-JVS(26)*XX(3)-JVS(372)*XX(75)-JVS(395)*XX(79)-JVS(404)*XX(81)-JVS(417)*XX(84)-JVS(462)*XX(90)&
              &-JVS(466)*XX(91)-JVS(591)*XX(108)-JVS(611)*XX(111)-JVS(642)*XX(116)-JVS(664)*XX(117)-JVS(709)*XX(121)&
              &-JVS(736)*XX(122)-JVS(763)*XX(125)-JVS(783)*XX(127)-JVS(835)*XX(130)-JVS(849)*XX(131)-JVS(895)*XX(135)&
              &-JVS(916)*XX(137)-JVS(936)*XX(138)-JVS(986)*XX(143)-JVS(1023)*XX(146)-JVS(1037)*XX(147)-JVS(1096)*XX(148)&
              &-JVS(1151)*XX(151)-JVS(1205)*XX(152)-JVS(1242)*XX(154))/(JVS(1255))
  XX(156) = (X(156)-JVS(27)*XX(3)-JVS(106)*XX(15)-JVS(429)*XX(85)-JVS(665)*XX(117)-JVS(1097)*XX(148)-JVS(1206)*XX(152))&
              &/(JVS(1291))
  XX(157) = (X(157)-JVS(368)*XX(74)-JVS(561)*XX(105)-JVS(592)*XX(108)-JVS(666)*XX(117)-JVS(737)*XX(122)-JVS(745)*XX(123)&
              &-JVS(791)*XX(128)-JVS(803)*XX(129)-JVS(967)*XX(141)-JVS(1098)*XX(148)-JVS(1152)*XX(151)-JVS(1207)*XX(152)&
              &-JVS(1292)*XX(156))/(JVS(1315))
  XX(158) = (X(158)-JVS(550)*XX(103)-JVS(667)*XX(117)-JVS(738)*XX(122)-JVS(987)*XX(143)-JVS(1024)*XX(146)-JVS(1099)&
              &*XX(148)-JVS(1128)*XX(150)-JVS(1153)*XX(151)-JVS(1208)*XX(152)-JVS(1243)*XX(154)-JVS(1293)*XX(156)-JVS(1316)&
              &*XX(157))/(JVS(1330))
  XX(159) = (X(159)-JVS(562)*XX(105)-JVS(746)*XX(123)-JVS(792)*XX(128)-JVS(804)*XX(129)-JVS(968)*XX(141)-JVS(1025)&
              &*XX(146)-JVS(1100)*XX(148)-JVS(1154)*XX(151)-JVS(1209)*XX(152)-JVS(1294)*XX(156)-JVS(1317)*XX(157))&
              &/(JVS(1348))
  XX(160) = (X(160)-JVS(218)*XX(47)-JVS(487)*XX(95)-JVS(605)*XX(110)-JVS(618)*XX(112)-JVS(679)*XX(118)-JVS(710)*XX(121)&
              &-JVS(905)*XX(136)-JVS(956)*XX(140)-JVS(1101)*XX(148)-JVS(1118)*XX(149)-JVS(1210)*XX(152)-JVS(1226)*XX(153)&
              &-JVS(1295)*XX(156)-JVS(1349)*XX(159))/(JVS(1365))
  XX(161) = (X(161)-JVS(711)*XX(121)-JVS(969)*XX(141)-JVS(1008)*XX(145)-JVS(1102)*XX(148)-JVS(1155)*XX(151))/(JVS(1407))
  XX(162) = (X(162)-JVS(623)*XX(113)-JVS(680)*XX(118)-JVS(691)*XX(120)-JVS(857)*XX(132)-JVS(875)*XX(134)-JVS(896)&
              &*XX(135)-JVS(995)*XX(144)-JVS(1009)*XX(145)-JVS(1103)*XX(148)-JVS(1156)*XX(151)-JVS(1211)*XX(152)-JVS(1296)&
              &*XX(156)-JVS(1408)*XX(161))/(JVS(1426))
  XX(163) = (X(163)-JVS(3)*XX(1)-JVS(8)*XX(2)-JVS(28)*XX(3)-JVS(50)*XX(6)-JVS(56)*XX(8)-JVS(67)*XX(10)-JVS(70)*XX(11)&
              &-JVS(73)*XX(12)-JVS(88)*XX(13)-JVS(93)*XX(14)-JVS(107)*XX(15)-JVS(116)*XX(16)-JVS(119)*XX(17)-JVS(123)*XX(18)&
              &-JVS(139)*XX(23)-JVS(155)*XX(29)-JVS(158)*XX(30)-JVS(161)*XX(31)-JVS(163)*XX(32)-JVS(168)*XX(33)-JVS(170)&
              &*XX(34)-JVS(173)*XX(35)-JVS(175)*XX(36)-JVS(179)*XX(37)-JVS(182)*XX(38)-JVS(185)*XX(39)-JVS(191)*XX(40)&
              &-JVS(196)*XX(41)-JVS(200)*XX(42)-JVS(203)*XX(43)-JVS(206)*XX(44)-JVS(209)*XX(45)-JVS(214)*XX(46)-JVS(219)&
              &*XX(47)-JVS(226)*XX(49)-JVS(231)*XX(50)-JVS(235)*XX(51)-JVS(242)*XX(52)-JVS(245)*XX(53)-JVS(261)*XX(56)&
              &-JVS(265)*XX(57)-JVS(269)*XX(58)-JVS(278)*XX(59)-JVS(282)*XX(60)-JVS(294)*XX(62)-JVS(301)*XX(63)-JVS(306)&
              &*XX(64)-JVS(311)*XX(65)-JVS(316)*XX(66)-JVS(322)*XX(67)-JVS(332)*XX(69)-JVS(342)*XX(70)-JVS(346)*XX(71)&
              &-JVS(354)*XX(72)-JVS(362)*XX(73)-JVS(369)*XX(74)-JVS(373)*XX(75)-JVS(379)*XX(76)-JVS(386)*XX(77)-JVS(391)&
              &*XX(78)-JVS(401)*XX(80)-JVS(405)*XX(81)-JVS(409)*XX(82)-JVS(413)*XX(83)-JVS(418)*XX(84)-JVS(430)*XX(85)&
              &-JVS(436)*XX(86)-JVS(441)*XX(87)-JVS(449)*XX(88)-JVS(457)*XX(89)-JVS(463)*XX(90)-JVS(467)*XX(91)-JVS(471)&
              &*XX(92)-JVS(476)*XX(93)-JVS(481)*XX(94)-JVS(488)*XX(95)-JVS(499)*XX(96)-JVS(506)*XX(97)-JVS(512)*XX(98)&
              &-JVS(517)*XX(99)-JVS(527)*XX(100)-JVS(537)*XX(101)-JVS(551)*XX(103)-JVS(555)*XX(104)-JVS(563)*XX(105)&
              &-JVS(593)*XX(108)-JVS(598)*XX(109)-JVS(619)*XX(112)-JVS(631)*XX(114)-JVS(643)*XX(116)-JVS(668)*XX(117)&
              &-JVS(686)*XX(119)-JVS(692)*XX(120)-JVS(712)*XX(121)-JVS(739)*XX(122)-JVS(747)*XX(123)-JVS(754)*XX(124)&
              &-JVS(764)*XX(125)-JVS(784)*XX(127)-JVS(793)*XX(128)-JVS(805)*XX(129)-JVS(836)*XX(130)-JVS(850)*XX(131)&
              &-JVS(858)*XX(132)-JVS(869)*XX(133)-JVS(876)*XX(134)-JVS(897)*XX(135)-JVS(917)*XX(137)-JVS(937)*XX(138)&
              &-JVS(947)*XX(139)-JVS(957)*XX(140)-JVS(970)*XX(141)-JVS(978)*XX(142)-JVS(988)*XX(143)-JVS(996)*XX(144)&
              &-JVS(1010)*XX(145)-JVS(1026)*XX(146)-JVS(1038)*XX(147)-JVS(1104)*XX(148)-JVS(1119)*XX(149)-JVS(1129)*XX(150)&
              &-JVS(1157)*XX(151)-JVS(1212)*XX(152)-JVS(1227)*XX(153)-JVS(1244)*XX(154)-JVS(1256)*XX(155)-JVS(1297)*XX(156)&
              &-JVS(1318)*XX(157)-JVS(1331)*XX(158)-JVS(1350)*XX(159)-JVS(1366)*XX(160)-JVS(1409)*XX(161)-JVS(1427)*XX(162))&
              &/(JVS(1561))
  XX(164) = (X(164)-JVS(29)*XX(3)-JVS(108)*XX(15)-JVS(210)*XX(45)-JVS(317)*XX(66)-JVS(442)*XX(87)-JVS(458)*XX(89)&
              &-JVS(564)*XX(105)-JVS(599)*XX(109)-JVS(612)*XX(111)-JVS(669)*XX(117)-JVS(713)*XX(121)-JVS(748)*XX(123)&
              &-JVS(794)*XX(128)-JVS(806)*XX(129)-JVS(837)*XX(130)-JVS(859)*XX(132)-JVS(877)*XX(134)-JVS(898)*XX(135)&
              &-JVS(906)*XX(136)-JVS(938)*XX(138)-JVS(958)*XX(140)-JVS(971)*XX(141)-JVS(979)*XX(142)-JVS(997)*XX(144)&
              &-JVS(1011)*XX(145)-JVS(1027)*XX(146)-JVS(1039)*XX(147)-JVS(1105)*XX(148)-JVS(1120)*XX(149)-JVS(1130)*XX(150)&
              &-JVS(1158)*XX(151)-JVS(1213)*XX(152)-JVS(1228)*XX(153)-JVS(1245)*XX(154)-JVS(1257)*XX(155)-JVS(1298)*XX(156)&
              &-JVS(1319)*XX(157)-JVS(1332)*XX(158)-JVS(1351)*XX(159)-JVS(1367)*XX(160)-JVS(1410)*XX(161)-JVS(1428)*XX(162)&
              &-JVS(1562)*XX(163))/(JVS(1621))
  XX(165) = (X(165)-JVS(30)*XX(3)-JVS(38)*XX(4)-JVS(43)*XX(5)-JVS(89)*XX(13)-JVS(109)*XX(15)-JVS(126)*XX(19)-JVS(131)&
              &*XX(20)-JVS(135)*XX(21)-JVS(164)*XX(32)-JVS(201)*XX(42)-JVS(254)*XX(54)-JVS(258)*XX(55)-JVS(279)*XX(59)&
              &-JVS(289)*XX(61)-JVS(295)*XX(62)-JVS(302)*XX(63)-JVS(326)*XX(68)-JVS(355)*XX(72)-JVS(363)*XX(73)-JVS(380)&
              &*XX(76)-JVS(392)*XX(78)-JVS(396)*XX(79)-JVS(419)*XX(84)-JVS(431)*XX(85)-JVS(437)*XX(86)-JVS(443)*XX(87)&
              &-JVS(450)*XX(88)-JVS(459)*XX(89)-JVS(482)*XX(94)-JVS(500)*XX(96)-JVS(507)*XX(97)-JVS(518)*XX(99)-JVS(528)&
              &*XX(100)-JVS(538)*XX(101)-JVS(543)*XX(102)-JVS(565)*XX(105)-JVS(570)*XX(106)-JVS(576)*XX(107)-JVS(600)&
              &*XX(109)-JVS(606)*XX(110)-JVS(613)*XX(111)-JVS(624)*XX(113)-JVS(632)*XX(114)-JVS(637)*XX(115)-JVS(644)&
              &*XX(116)-JVS(670)*XX(117)-JVS(681)*XX(118)-JVS(714)*XX(121)-JVS(749)*XX(123)-JVS(755)*XX(124)-JVS(765)&
              &*XX(125)-JVS(770)*XX(126)-JVS(785)*XX(127)-JVS(795)*XX(128)-JVS(807)*XX(129)-JVS(838)*XX(130)-JVS(851)&
              &*XX(131)-JVS(860)*XX(132)-JVS(870)*XX(133)-JVS(878)*XX(134)-JVS(899)*XX(135)-JVS(907)*XX(136)-JVS(918)&
              &*XX(137)-JVS(939)*XX(138)-JVS(948)*XX(139)-JVS(959)*XX(140)-JVS(972)*XX(141)-JVS(980)*XX(142)-JVS(989)&
              &*XX(143)-JVS(998)*XX(144)-JVS(1012)*XX(145)-JVS(1028)*XX(146)-JVS(1040)*XX(147)-JVS(1106)*XX(148)-JVS(1121)&
              &*XX(149)-JVS(1131)*XX(150)-JVS(1159)*XX(151)-JVS(1214)*XX(152)-JVS(1229)*XX(153)-JVS(1246)*XX(154)-JVS(1258)&
              &*XX(155)-JVS(1299)*XX(156)-JVS(1320)*XX(157)-JVS(1333)*XX(158)-JVS(1352)*XX(159)-JVS(1368)*XX(160)-JVS(1411)&
              &*XX(161)-JVS(1429)*XX(162)-JVS(1563)*XX(163)-JVS(1622)*XX(164))/(JVS(1692))
  XX(166) = (X(166)-JVS(31)*XX(3)-JVS(544)*XX(102)-JVS(571)*XX(106)-JVS(577)*XX(107)-JVS(607)*XX(110)-JVS(625)*XX(113)&
              &-JVS(638)*XX(115)-JVS(671)*XX(117)-JVS(682)*XX(118)-JVS(940)*XX(138)-JVS(1107)*XX(148)-JVS(1160)*XX(151)&
              &-JVS(1215)*XX(152)-JVS(1230)*XX(153)-JVS(1300)*XX(156)-JVS(1369)*XX(160)-JVS(1412)*XX(161)-JVS(1430)*XX(162)&
              &-JVS(1564)*XX(163)-JVS(1623)*XX(164)-JVS(1693)*XX(165))/(JVS(1762))
  XX(167) = (X(167)-JVS(32)*XX(3)-JVS(44)*XX(5)-JVS(63)*XX(9)-JVS(90)*XX(13)-JVS(110)*XX(15)-JVS(211)*XX(45)-JVS(215)&
              &*XX(46)-JVS(227)*XX(49)-JVS(232)*XX(50)-JVS(236)*XX(51)-JVS(246)*XX(53)-JVS(262)*XX(56)-JVS(266)*XX(57)&
              &-JVS(270)*XX(58)-JVS(283)*XX(60)-JVS(296)*XX(62)-JVS(303)*XX(63)-JVS(307)*XX(64)-JVS(323)*XX(67)-JVS(333)&
              &*XX(69)-JVS(343)*XX(70)-JVS(347)*XX(71)-JVS(356)*XX(72)-JVS(364)*XX(73)-JVS(370)*XX(74)-JVS(381)*XX(76)&
              &-JVS(387)*XX(77)-JVS(393)*XX(78)-JVS(397)*XX(79)-JVS(402)*XX(80)-JVS(406)*XX(81)-JVS(410)*XX(82)-JVS(414)&
              &*XX(83)-JVS(420)*XX(84)-JVS(432)*XX(85)-JVS(438)*XX(86)-JVS(451)*XX(88)-JVS(460)*XX(89)-JVS(464)*XX(90)&
              &-JVS(468)*XX(91)-JVS(472)*XX(92)-JVS(477)*XX(93)-JVS(483)*XX(94)-JVS(489)*XX(95)-JVS(501)*XX(96)-JVS(508)&
              &*XX(97)-JVS(513)*XX(98)-JVS(519)*XX(99)-JVS(529)*XX(100)-JVS(539)*XX(101)-JVS(552)*XX(103)-JVS(566)*XX(105)&
              &-JVS(601)*XX(109)-JVS(614)*XX(111)-JVS(633)*XX(114)-JVS(672)*XX(117)-JVS(715)*XX(121)-JVS(750)*XX(123)&
              &-JVS(756)*XX(124)-JVS(766)*XX(125)-JVS(771)*XX(126)-JVS(786)*XX(127)-JVS(796)*XX(128)-JVS(808)*XX(129)&
              &-JVS(839)*XX(130)-JVS(852)*XX(131)-JVS(861)*XX(132)-JVS(871)*XX(133)-JVS(879)*XX(134)-JVS(900)*XX(135)&
              &-JVS(908)*XX(136)-JVS(919)*XX(137)-JVS(941)*XX(138)-JVS(949)*XX(139)-JVS(960)*XX(140)-JVS(973)*XX(141)&
              &-JVS(981)*XX(142)-JVS(999)*XX(144)-JVS(1013)*XX(145)-JVS(1029)*XX(146)-JVS(1041)*XX(147)-JVS(1108)*XX(148)&
              &-JVS(1122)*XX(149)-JVS(1161)*XX(151)-JVS(1216)*XX(152)-JVS(1231)*XX(153)-JVS(1247)*XX(154)-JVS(1259)*XX(155)&
              &-JVS(1301)*XX(156)-JVS(1321)*XX(157)-JVS(1334)*XX(158)-JVS(1353)*XX(159)-JVS(1370)*XX(160)-JVS(1413)*XX(161)&
              &-JVS(1431)*XX(162)-JVS(1565)*XX(163)-JVS(1624)*XX(164)-JVS(1694)*XX(165)-JVS(1763)*XX(166))/(JVS(1886))
  XX(168) = (X(168)-JVS(45)*XX(5)-JVS(143)*XX(25)-JVS(147)*XX(26)-JVS(150)*XX(27)-JVS(153)*XX(28)-JVS(220)*XX(47)&
              &-JVS(223)*XX(48)-JVS(247)*XX(53)-JVS(318)*XX(66)-JVS(327)*XX(68)-JVS(357)*XX(72)-JVS(382)*XX(76)-JVS(452)&
              &*XX(88)-JVS(502)*XX(96)-JVS(530)*XX(100)-JVS(540)*XX(101)-JVS(545)*XX(102)-JVS(556)*XX(104)-JVS(572)*XX(106)&
              &-JVS(578)*XX(107)-JVS(608)*XX(110)-JVS(620)*XX(112)-JVS(626)*XX(113)-JVS(634)*XX(114)-JVS(639)*XX(115)&
              &-JVS(673)*XX(117)-JVS(683)*XX(118)-JVS(716)*XX(121)-JVS(840)*XX(130)-JVS(942)*XX(138)-JVS(950)*XX(139)&
              &-JVS(1014)*XX(145)-JVS(1109)*XX(148)-JVS(1123)*XX(149)-JVS(1162)*XX(151)-JVS(1217)*XX(152)-JVS(1232)*XX(153)&
              &-JVS(1302)*XX(156)-JVS(1371)*XX(160)-JVS(1414)*XX(161)-JVS(1432)*XX(162)-JVS(1566)*XX(163)-JVS(1625)*XX(164)&
              &-JVS(1695)*XX(165)-JVS(1764)*XX(166)-JVS(1887)*XX(167))/(JVS(1982))
  XX(169) = (X(169)-JVS(33)*XX(3)-JVS(137)*XX(22)-JVS(186)*XX(39)-JVS(312)*XX(65)-JVS(328)*XX(68)-JVS(358)*XX(72)&
              &-JVS(433)*XX(85)-JVS(444)*XX(87)-JVS(453)*XX(88)-JVS(509)*XX(97)-JVS(546)*XX(102)-JVS(557)*XX(104)-JVS(573)&
              &*XX(106)-JVS(579)*XX(107)-JVS(602)*XX(109)-JVS(609)*XX(110)-JVS(627)*XX(113)-JVS(640)*XX(115)-JVS(645)&
              &*XX(116)-JVS(674)*XX(117)-JVS(684)*XX(118)-JVS(687)*XX(119)-JVS(693)*XX(120)-JVS(717)*XX(121)-JVS(740)&
              &*XX(122)-JVS(767)*XX(125)-JVS(787)*XX(127)-JVS(841)*XX(130)-JVS(853)*XX(131)-JVS(862)*XX(132)-JVS(880)&
              &*XX(134)-JVS(901)*XX(135)-JVS(920)*XX(137)-JVS(943)*XX(138)-JVS(990)*XX(143)-JVS(1000)*XX(144)-JVS(1030)&
              &*XX(146)-JVS(1110)*XX(148)-JVS(1124)*XX(149)-JVS(1132)*XX(150)-JVS(1163)*XX(151)-JVS(1218)*XX(152)-JVS(1233)&
              &*XX(153)-JVS(1248)*XX(154)-JVS(1260)*XX(155)-JVS(1303)*XX(156)-JVS(1322)*XX(157)-JVS(1335)*XX(158)-JVS(1354)&
              &*XX(159)-JVS(1372)*XX(160)-JVS(1415)*XX(161)-JVS(1433)*XX(162)-JVS(1567)*XX(163)-JVS(1626)*XX(164)-JVS(1696)&
              &*XX(165)-JVS(1765)*XX(166)-JVS(1888)*XX(167)-JVS(1983)*XX(168))/(JVS(2013))
  XX(170) = (X(170)-JVS(46)*XX(5)-JVS(53)*XX(7)-JVS(144)*XX(25)-JVS(204)*XX(43)-JVS(207)*XX(44)-JVS(221)*XX(47)-JVS(329)&
              &*XX(68)-JVS(490)*XX(95)-JVS(621)*XX(112)-JVS(688)*XX(119)-JVS(694)*XX(120)-JVS(718)*XX(121)-JVS(772)*XX(126)&
              &-JVS(842)*XX(130)-JVS(863)*XX(132)-JVS(881)*XX(134)-JVS(902)*XX(135)-JVS(909)*XX(136)-JVS(951)*XX(139)&
              &-JVS(961)*XX(140)-JVS(974)*XX(141)-JVS(982)*XX(142)-JVS(1001)*XX(144)-JVS(1015)*XX(145)-JVS(1111)*XX(148)&
              &-JVS(1125)*XX(149)-JVS(1133)*XX(150)-JVS(1164)*XX(151)-JVS(1219)*XX(152)-JVS(1234)*XX(153)-JVS(1249)*XX(154)&
              &-JVS(1261)*XX(155)-JVS(1304)*XX(156)-JVS(1323)*XX(157)-JVS(1336)*XX(158)-JVS(1355)*XX(159)-JVS(1373)*XX(160)&
              &-JVS(1416)*XX(161)-JVS(1434)*XX(162)-JVS(1568)*XX(163)-JVS(1627)*XX(164)-JVS(1697)*XX(165)-JVS(1766)*XX(166)&
              &-JVS(1889)*XX(167)-JVS(1984)*XX(168)-JVS(2014)*XX(169))/(JVS(2071))
  XX(171) = (X(171)-JVS(34)*XX(3)-JVS(47)*XX(5)-JVS(64)*XX(9)-JVS(111)*XX(15)-JVS(224)*XX(48)-JVS(228)*XX(49)-JVS(243)&
              &*XX(52)-JVS(313)*XX(65)-JVS(567)*XX(105)-JVS(594)*XX(108)-JVS(675)*XX(117)-JVS(741)*XX(122)-JVS(751)*XX(123)&
              &-JVS(757)*XX(124)-JVS(773)*XX(126)-JVS(797)*XX(128)-JVS(809)*XX(129)-JVS(843)*XX(130)-JVS(864)*XX(132)&
              &-JVS(882)*XX(134)-JVS(903)*XX(135)-JVS(910)*XX(136)-JVS(944)*XX(138)-JVS(962)*XX(140)-JVS(975)*XX(141)&
              &-JVS(983)*XX(142)-JVS(991)*XX(143)-JVS(1002)*XX(144)-JVS(1016)*XX(145)-JVS(1031)*XX(146)-JVS(1042)*XX(147)&
              &-JVS(1112)*XX(148)-JVS(1126)*XX(149)-JVS(1134)*XX(150)-JVS(1165)*XX(151)-JVS(1220)*XX(152)-JVS(1235)*XX(153)&
              &-JVS(1250)*XX(154)-JVS(1262)*XX(155)-JVS(1305)*XX(156)-JVS(1324)*XX(157)-JVS(1337)*XX(158)-JVS(1356)*XX(159)&
              &-JVS(1374)*XX(160)-JVS(1417)*XX(161)-JVS(1435)*XX(162)-JVS(1569)*XX(163)-JVS(1628)*XX(164)-JVS(1698)*XX(165)&
              &-JVS(1767)*XX(166)-JVS(1890)*XX(167)-JVS(1985)*XX(168)-JVS(2015)*XX(169)-JVS(2072)*XX(170))/(JVS(2129))
  XX(172) = (X(172)-JVS(719)*XX(121)-JVS(976)*XX(141)-JVS(984)*XX(142)-JVS(1017)*XX(145)-JVS(1113)*XX(148)-JVS(1166)&
              &*XX(151)-JVS(1221)*XX(152)-JVS(1306)*XX(156)-JVS(1357)*XX(159)-JVS(1418)*XX(161)-JVS(1570)*XX(163)-JVS(1629)&
              &*XX(164)-JVS(1699)*XX(165)-JVS(1768)*XX(166)-JVS(1891)*XX(167)-JVS(1986)*XX(168)-JVS(2016)*XX(169)-JVS(2073)&
              &*XX(170)-JVS(2130)*XX(171))/(JVS(2160))
  XX(172) = XX(172)
  XX(171) = XX(171)-JVS(2159)*XX(172)
  XX(170) = XX(170)-JVS(2128)*XX(171)-JVS(2158)*XX(172)
  XX(169) = XX(169)-JVS(2070)*XX(170)-JVS(2127)*XX(171)-JVS(2157)*XX(172)
  XX(168) = XX(168)-JVS(2012)*XX(169)-JVS(2069)*XX(170)-JVS(2126)*XX(171)-JVS(2156)*XX(172)
  XX(167) = XX(167)-JVS(1981)*XX(168)-JVS(2011)*XX(169)-JVS(2068)*XX(170)-JVS(2125)*XX(171)-JVS(2155)*XX(172)
  XX(166) = XX(166)-JVS(1885)*XX(167)-JVS(1980)*XX(168)-JVS(2010)*XX(169)-JVS(2067)*XX(170)-JVS(2124)*XX(171)-JVS(2154)&
              &*XX(172)
  XX(165) = XX(165)-JVS(1761)*XX(166)-JVS(1884)*XX(167)-JVS(1979)*XX(168)-JVS(2009)*XX(169)-JVS(2066)*XX(170)-JVS(2123)&
              &*XX(171)-JVS(2153)*XX(172)
  XX(164) = XX(164)-JVS(1691)*XX(165)-JVS(1760)*XX(166)-JVS(1883)*XX(167)-JVS(1978)*XX(168)-JVS(2008)*XX(169)-JVS(2065)&
              &*XX(170)-JVS(2122)*XX(171)-JVS(2152)*XX(172)
  XX(163) = XX(163)-JVS(1620)*XX(164)-JVS(1690)*XX(165)-JVS(1759)*XX(166)-JVS(1882)*XX(167)-JVS(1977)*XX(168)-JVS(2007)&
              &*XX(169)-JVS(2064)*XX(170)-JVS(2121)*XX(171)-JVS(2151)*XX(172)
  XX(162) = XX(162)-JVS(1560)*XX(163)-JVS(1619)*XX(164)-JVS(1689)*XX(165)-JVS(1758)*XX(166)-JVS(1881)*XX(167)-JVS(1976)&
              &*XX(168)-JVS(2006)*XX(169)-JVS(2063)*XX(170)-JVS(2120)*XX(171)-JVS(2150)*XX(172)
  XX(161) = XX(161)-JVS(1559)*XX(163)-JVS(1618)*XX(164)-JVS(1688)*XX(165)-JVS(1757)*XX(166)-JVS(1880)*XX(167)-JVS(1975)&
              &*XX(168)-JVS(2005)*XX(169)-JVS(2062)*XX(170)-JVS(2119)*XX(171)
  XX(160) = XX(160)-JVS(1406)*XX(161)-JVS(1558)*XX(163)-JVS(1617)*XX(164)-JVS(1687)*XX(165)-JVS(1756)*XX(166)-JVS(1879)&
              &*XX(167)-JVS(1974)*XX(168)-JVS(2004)*XX(169)-JVS(2061)*XX(170)-JVS(2118)*XX(171)-JVS(2149)*XX(172)
  XX(159) = XX(159)-JVS(1405)*XX(161)-JVS(1557)*XX(163)-JVS(1616)*XX(164)-JVS(1686)*XX(165)-JVS(1755)*XX(166)-JVS(1878)&
              &*XX(167)-JVS(1973)*XX(168)-JVS(2060)*XX(170)-JVS(2117)*XX(171)-JVS(2148)*XX(172)
  XX(158) = XX(158)-JVS(1347)*XX(159)-JVS(1364)*XX(160)-JVS(1404)*XX(161)-JVS(1425)*XX(162)-JVS(1556)*XX(163)-JVS(1615)&
              &*XX(164)-JVS(1685)*XX(165)-JVS(1754)*XX(166)-JVS(1877)*XX(167)-JVS(1972)*XX(168)-JVS(2003)*XX(169)-JVS(2059)&
              &*XX(170)-JVS(2116)*XX(171)-JVS(2147)*XX(172)
  XX(157) = XX(157)-JVS(1346)*XX(159)-JVS(1403)*XX(161)-JVS(1555)*XX(163)-JVS(1614)*XX(164)-JVS(1684)*XX(165)-JVS(1753)&
              &*XX(166)-JVS(1876)*XX(167)-JVS(1971)*XX(168)-JVS(2058)*XX(170)-JVS(2115)*XX(171)-JVS(2146)*XX(172)
  XX(156) = XX(156)-JVS(1554)*XX(163)-JVS(1613)*XX(164)-JVS(1752)*XX(166)-JVS(1875)*XX(167)-JVS(1970)*XX(168)-JVS(2057)&
              &*XX(170)-JVS(2114)*XX(171)
  XX(155) = XX(155)-JVS(1290)*XX(156)-JVS(1314)*XX(157)-JVS(1345)*XX(159)-JVS(1363)*XX(160)-JVS(1402)*XX(161)-JVS(1424)&
              &*XX(162)-JVS(1553)*XX(163)-JVS(1612)*XX(164)-JVS(1683)*XX(165)-JVS(1751)*XX(166)-JVS(1874)*XX(167)-JVS(1969)&
              &*XX(168)-JVS(2002)*XX(169)-JVS(2056)*XX(170)-JVS(2113)*XX(171)-JVS(2145)*XX(172)
  XX(154) = XX(154)-JVS(1289)*XX(156)-JVS(1313)*XX(157)-JVS(1401)*XX(161)-JVS(1552)*XX(163)-JVS(1611)*XX(164)-JVS(1682)&
              &*XX(165)-JVS(1750)*XX(166)-JVS(1873)*XX(167)-JVS(1968)*XX(168)-JVS(2001)*XX(169)-JVS(2055)*XX(170)-JVS(2112)&
              &*XX(171)-JVS(2144)*XX(172)
  XX(153) = XX(153)-JVS(1288)*XX(156)-JVS(1400)*XX(161)-JVS(1551)*XX(163)-JVS(1610)*XX(164)-JVS(1681)*XX(165)-JVS(1749)&
              &*XX(166)-JVS(1872)*XX(167)-JVS(1967)*XX(168)-JVS(2054)*XX(170)-JVS(2111)*XX(171)-JVS(2143)*XX(172)
  XX(152) = XX(152)-JVS(1550)*XX(163)-JVS(1609)*XX(164)-JVS(1748)*XX(166)-JVS(1871)*XX(167)-JVS(1966)*XX(168)-JVS(2053)&
              &*XX(170)
  XX(151) = XX(151)-JVS(1549)*XX(163)-JVS(1608)*XX(164)-JVS(1747)*XX(166)-JVS(1870)*XX(167)-JVS(1965)*XX(168)-JVS(2052)&
              &*XX(170)-JVS(2110)*XX(171)
  XX(150) = XX(150)-JVS(1149)*XX(151)-JVS(1201)*XX(152)-JVS(1287)*XX(156)-JVS(1329)*XX(158)-JVS(1344)*XX(159)-JVS(1399)&
              &*XX(161)-JVS(1548)*XX(163)-JVS(1607)*XX(164)-JVS(1680)*XX(165)-JVS(1746)*XX(166)-JVS(1869)*XX(167)-JVS(1964)&
              &*XX(168)-JVS(2000)*XX(169)-JVS(2051)*XX(170)-JVS(2109)*XX(171)-JVS(2142)*XX(172)
  XX(149) = XX(149)-JVS(1286)*XX(156)-JVS(1398)*XX(161)-JVS(1547)*XX(163)-JVS(1606)*XX(164)-JVS(1679)*XX(165)-JVS(1745)&
              &*XX(166)-JVS(1868)*XX(167)-JVS(1963)*XX(168)-JVS(1999)*XX(169)-JVS(2050)*XX(170)-JVS(2108)*XX(171)-JVS(2141)&
              &*XX(172)
  XX(148) = XX(148)-JVS(1546)*XX(163)-JVS(1744)*XX(166)-JVS(1867)*XX(167)-JVS(1962)*XX(168)-JVS(2049)*XX(170)
  XX(147) = XX(147)-JVS(1089)*XX(148)-JVS(1200)*XX(152)-JVS(1285)*XX(156)-JVS(1312)*XX(157)-JVS(1397)*XX(161)-JVS(1545)&
              &*XX(163)-JVS(1605)*XX(164)-JVS(1678)*XX(165)-JVS(1743)*XX(166)-JVS(1866)*XX(167)-JVS(1961)*XX(168)-JVS(1998)&
              &*XX(169)-JVS(2048)*XX(170)-JVS(2107)*XX(171)-JVS(2140)*XX(172)
  XX(146) = XX(146)-JVS(1088)*XX(148)-JVS(1148)*XX(151)-JVS(1311)*XX(157)-JVS(1343)*XX(159)-JVS(1396)*XX(161)-JVS(1544)&
              &*XX(163)-JVS(1604)*XX(164)-JVS(1677)*XX(165)-JVS(1865)*XX(167)-JVS(1960)*XX(168)-JVS(2106)*XX(171)
  XX(145) = XX(145)-JVS(1087)*XX(148)-JVS(1147)*XX(151)-JVS(1543)*XX(163)-JVS(1603)*XX(164)-JVS(1676)*XX(165)-JVS(1864)&
              &*XX(167)-JVS(1959)*XX(168)-JVS(1997)*XX(169)-JVS(2105)*XX(171)
  XX(144) = XX(144)-JVS(1086)*XX(148)-JVS(1199)*XX(152)-JVS(1395)*XX(161)-JVS(1542)*XX(163)-JVS(1602)*XX(164)-JVS(1675)&
              &*XX(165)-JVS(1742)*XX(166)-JVS(1863)*XX(167)-JVS(1958)*XX(168)-JVS(2047)*XX(170)-JVS(2104)*XX(171)-JVS(2139)&
              &*XX(172)
  XX(143) = XX(143)-JVS(1021)*XX(146)-JVS(1085)*XX(148)-JVS(1146)*XX(151)-JVS(1198)*XX(152)-JVS(1240)*XX(154)-JVS(1284)&
              &*XX(156)-JVS(1394)*XX(161)-JVS(1541)*XX(163)-JVS(1601)*XX(164)-JVS(1674)*XX(165)-JVS(1741)*XX(166)-JVS(1862)&
              &*XX(167)-JVS(1957)*XX(168)-JVS(1996)*XX(169)-JVS(2046)*XX(170)-JVS(2103)*XX(171)
  XX(142) = XX(142)-JVS(1084)*XX(148)-JVS(1145)*XX(151)-JVS(1197)*XX(152)-JVS(1283)*XX(156)-JVS(1342)*XX(159)-JVS(1393)&
              &*XX(161)-JVS(1540)*XX(163)-JVS(1600)*XX(164)-JVS(1673)*XX(165)-JVS(1861)*XX(167)-JVS(1956)*XX(168)-JVS(2102)&
              &*XX(171)-JVS(2138)*XX(172)
  XX(141) = XX(141)-JVS(1083)*XX(148)-JVS(1144)*XX(151)-JVS(1539)*XX(163)-JVS(1599)*XX(164)-JVS(1672)*XX(165)-JVS(1860)&
              &*XX(167)-JVS(1955)*XX(168)-JVS(2101)*XX(171)
  XX(140) = XX(140)-JVS(1082)*XX(148)-JVS(1282)*XX(156)-JVS(1392)*XX(161)-JVS(1538)*XX(163)-JVS(1598)*XX(164)-JVS(1671)&
              &*XX(165)-JVS(1859)*XX(167)-JVS(1954)*XX(168)-JVS(2045)*XX(170)-JVS(2100)*XX(171)-JVS(2137)*XX(172)
  XX(139) = XX(139)-JVS(1005)*XX(145)-JVS(1081)*XX(148)-JVS(1143)*XX(151)-JVS(1196)*XX(152)-JVS(1281)*XX(156)-JVS(1537)&
              &*XX(163)-JVS(1597)*XX(164)-JVS(1670)*XX(165)-JVS(1740)*XX(166)-JVS(1858)*XX(167)-JVS(1953)*XX(168)-JVS(1995)&
              &*XX(169)-JVS(2044)*XX(170)-JVS(2099)*XX(171)
  XX(138) = XX(138)-JVS(1080)*XX(148)-JVS(1536)*XX(163)-JVS(1739)*XX(166)-JVS(1857)*XX(167)-JVS(1952)*XX(168)-JVS(2043)&
              &*XX(170)
  XX(137) = XX(137)-JVS(929)*XX(138)-JVS(1020)*XX(146)-JVS(1079)*XX(148)-JVS(1195)*XX(152)-JVS(1280)*XX(156)-JVS(1391)&
              &*XX(161)-JVS(1535)*XX(163)-JVS(1596)*XX(164)-JVS(1669)*XX(165)-JVS(1738)*XX(166)-JVS(1856)*XX(167)-JVS(1951)&
              &*XX(168)-JVS(2042)*XX(170)-JVS(2098)*XX(171)
  XX(136) = XX(136)-JVS(953)*XX(140)-JVS(1078)*XX(148)-JVS(1116)*XX(149)-JVS(1194)*XX(152)-JVS(1341)*XX(159)-JVS(1390)&
              &*XX(161)-JVS(1534)*XX(163)-JVS(1595)*XX(164)-JVS(1668)*XX(165)-JVS(1737)*XX(166)-JVS(1855)*XX(167)-JVS(1950)&
              &*XX(168)-JVS(2097)*XX(171)
  XX(135) = XX(135)-JVS(1077)*XX(148)-JVS(1193)*XX(152)-JVS(1533)*XX(163)-JVS(1736)*XX(166)-JVS(1949)*XX(168)-JVS(2096)&
              &*XX(171)
  XX(134) = XX(134)-JVS(1076)*XX(148)-JVS(1142)*XX(151)-JVS(1279)*XX(156)-JVS(1389)*XX(161)-JVS(1532)*XX(163)-JVS(1594)&
              &*XX(164)-JVS(1667)*XX(165)-JVS(1854)*XX(167)-JVS(1948)*XX(168)-JVS(2095)*XX(171)
  XX(133) = XX(133)-JVS(888)*XX(135)-JVS(913)*XX(137)-JVS(928)*XX(138)-JVS(1019)*XX(146)-JVS(1075)*XX(148)-JVS(1192)&
              &*XX(152)-JVS(1278)*XX(156)-JVS(1388)*XX(161)-JVS(1531)*XX(163)-JVS(1593)*XX(164)-JVS(1666)*XX(165)-JVS(1735)&
              &*XX(166)-JVS(1853)*XX(167)-JVS(1947)*XX(168)-JVS(2041)*XX(170)-JVS(2094)*XX(171)
  XX(132) = XX(132)-JVS(887)*XX(135)-JVS(1074)*XX(148)-JVS(1141)*XX(151)-JVS(1387)*XX(161)-JVS(1530)*XX(163)-JVS(1592)&
              &*XX(164)-JVS(1665)*XX(165)-JVS(1852)*XX(167)-JVS(1946)*XX(168)-JVS(2093)*XX(171)
  XX(131) = XX(131)-JVS(1073)*XX(148)-JVS(1191)*XX(152)-JVS(1277)*XX(156)-JVS(1529)*XX(163)-JVS(1664)*XX(165)-JVS(1734)&
              &*XX(166)-JVS(1851)*XX(167)-JVS(1945)*XX(168)-JVS(2040)*XX(170)-JVS(2092)*XX(171)
  XX(130) = XX(130)-JVS(1072)*XX(148)-JVS(1528)*XX(163)-JVS(1733)*XX(166)-JVS(1850)*XX(167)-JVS(1944)*XX(168)-JVS(2039)&
              &*XX(170)
  XX(129) = XX(129)-JVS(1071)*XX(148)-JVS(1190)*XX(152)-JVS(1276)*XX(156)-JVS(1527)*XX(163)-JVS(1591)*XX(164)-JVS(1663)&
              &*XX(165)-JVS(1849)*XX(167)-JVS(1943)*XX(168)-JVS(2091)*XX(171)
  XX(128) = XX(128)-JVS(800)*XX(129)-JVS(1070)*XX(148)-JVS(1386)*XX(161)-JVS(1526)*XX(163)-JVS(1590)*XX(164)-JVS(1662)&
              &*XX(165)-JVS(1732)*XX(166)-JVS(1848)*XX(167)-JVS(1942)*XX(168)-JVS(2090)*XX(171)
  XX(127) = XX(127)-JVS(829)*XX(130)-JVS(927)*XX(138)-JVS(1069)*XX(148)-JVS(1189)*XX(152)-JVS(1275)*XX(156)-JVS(1525)&
              &*XX(163)-JVS(1589)*XX(164)-JVS(1661)*XX(165)-JVS(1731)*XX(166)-JVS(1847)*XX(167)-JVS(1941)*XX(168)
  XX(126) = XX(126)-JVS(828)*XX(130)-JVS(886)*XX(135)-JVS(1068)*XX(148)-JVS(1328)*XX(158)-JVS(1340)*XX(159)-JVS(1385)&
              &*XX(161)-JVS(1524)*XX(163)-JVS(1660)*XX(165)-JVS(1846)*XX(167)-JVS(1940)*XX(168)-JVS(2038)*XX(170)-JVS(2089)&
              &*XX(171)-JVS(2136)*XX(172)
  XX(125) = XX(125)-JVS(926)*XX(138)-JVS(1067)*XX(148)-JVS(1188)*XX(152)-JVS(1523)*XX(163)-JVS(1588)*XX(164)-JVS(1845)&
              &*XX(167)-JVS(1939)*XX(168)-JVS(2037)*XX(170)
  XX(124) = XX(124)-JVS(827)*XX(130)-JVS(885)*XX(135)-JVS(1066)*XX(148)-JVS(1327)*XX(158)-JVS(1339)*XX(159)-JVS(1384)&
              &*XX(161)-JVS(1522)*XX(163)-JVS(1659)*XX(165)-JVS(1844)*XX(167)-JVS(1938)*XX(168)-JVS(2088)*XX(171)-JVS(2135)&
              &*XX(172)
  XX(123) = XX(123)-JVS(1065)*XX(148)-JVS(1383)*XX(161)-JVS(1521)*XX(163)-JVS(1587)*XX(164)-JVS(1658)*XX(165)-JVS(1843)&
              &*XX(167)-JVS(1937)*XX(168)-JVS(2087)*XX(171)
  XX(122) = XX(122)-JVS(1064)*XX(148)-JVS(1520)*XX(163)-JVS(1842)*XX(167)
  XX(121) = XX(121)-JVS(1519)*XX(163)-JVS(1936)*XX(168)-JVS(2036)*XX(170)
  XX(120) = XX(120)-JVS(855)*XX(132)-JVS(873)*XX(134)-JVS(1063)*XX(148)-JVS(1140)*XX(151)-JVS(1518)*XX(163)-JVS(1657)&
              &*XX(165)-JVS(1730)*XX(166)-JVS(1841)*XX(167)-JVS(1935)*XX(168)-JVS(1994)*XX(169)-JVS(2035)*XX(170)-JVS(2086)&
              &*XX(171)
  XX(119) = XX(119)-JVS(689)*XX(120)-JVS(993)*XX(144)-JVS(1062)*XX(148)-JVS(1224)*XX(153)-JVS(1254)*XX(155)-JVS(1274)&
              &*XX(156)-JVS(1326)*XX(158)-JVS(1362)*XX(160)-JVS(1423)*XX(162)-JVS(1517)*XX(163)-JVS(1586)*XX(164)-JVS(1656)&
              &*XX(165)-JVS(1729)*XX(166)-JVS(1840)*XX(167)-JVS(1934)*XX(168)-JVS(1993)*XX(169)-JVS(2034)*XX(170)-JVS(2085)&
              &*XX(171)
  XX(118) = XX(118)-JVS(1061)*XX(148)-JVS(1516)*XX(163)-JVS(1655)*XX(165)-JVS(1728)*XX(166)-JVS(1839)*XX(167)-JVS(1933)&
              &*XX(168)-JVS(2033)*XX(170)
  XX(117) = XX(117)-JVS(1515)*XX(163)-JVS(2084)*XX(171)
  XX(116) = XX(116)-JVS(699)*XX(121)-JVS(758)*XX(125)-JVS(780)*XX(127)-JVS(844)*XX(131)-JVS(884)*XX(135)-JVS(912)&
              &*XX(137)-JVS(1060)*XX(148)-JVS(1239)*XX(154)-JVS(1514)*XX(163)-JVS(1727)*XX(166)-JVS(1838)*XX(167)-JVS(1932)&
              &*XX(168)-JVS(1992)*XX(169)
  XX(115) = XX(115)-JVS(1059)*XX(148)-JVS(1223)*XX(153)-JVS(1273)*XX(156)-JVS(1361)*XX(160)-JVS(1513)*XX(163)-JVS(1654)&
              &*XX(165)-JVS(1726)*XX(166)-JVS(1837)*XX(167)-JVS(1931)*XX(168)-JVS(2032)*XX(170)
  XX(114) = XX(114)-JVS(647)*XX(117)-JVS(1058)*XX(148)-JVS(1187)*XX(152)-JVS(1272)*XX(156)-JVS(1512)*XX(163)-JVS(1653)&
              &*XX(165)-JVS(1836)*XX(167)-JVS(1930)*XX(168)-JVS(2031)*XX(170)
  XX(113) = XX(113)-JVS(1186)*XX(152)-JVS(1511)*XX(163)-JVS(1585)*XX(164)-JVS(1652)*XX(165)-JVS(1725)*XX(166)-JVS(1835)&
              &*XX(167)-JVS(1929)*XX(168)-JVS(2030)*XX(170)-JVS(2083)*XX(171)
  XX(112) = XX(112)-JVS(1057)*XX(148)-JVS(1271)*XX(156)-JVS(1510)*XX(163)-JVS(1584)*XX(164)-JVS(1724)*XX(166)-JVS(1834)&
              &*XX(167)-JVS(1928)*XX(168)-JVS(2029)*XX(170)-JVS(2082)*XX(171)
  XX(111) = XX(111)-JVS(698)*XX(121)-JVS(826)*XX(130)-JVS(925)*XX(138)-JVS(1185)*XX(152)-JVS(1270)*XX(156)-JVS(1310)&
              &*XX(157)-JVS(1382)*XX(161)-JVS(1509)*XX(163)-JVS(1651)*XX(165)-JVS(1833)*XX(167)-JVS(1927)*XX(168)
  XX(110) = XX(110)-JVS(1184)*XX(152)-JVS(1508)*XX(163)-JVS(1650)*XX(165)-JVS(1723)*XX(166)-JVS(1832)*XX(167)-JVS(1926)&
              &*XX(168)-JVS(2028)*XX(170)
  XX(109) = XX(109)-JVS(697)*XX(121)-JVS(1309)*XX(157)-JVS(1381)*XX(161)-JVS(1507)*XX(163)-JVS(1649)*XX(165)-JVS(1831)&
              &*XX(167)-JVS(1925)*XX(168)
  XX(108) = XX(108)-JVS(1380)*XX(161)-JVS(1506)*XX(163)-JVS(1830)*XX(167)
  XX(107) = XX(107)-JVS(924)*XX(138)-JVS(1269)*XX(156)-JVS(1505)*XX(163)-JVS(1648)*XX(165)-JVS(1722)*XX(166)-JVS(1829)&
              &*XX(167)-JVS(1924)*XX(168)-JVS(2027)*XX(170)
  XX(106) = XX(106)-JVS(646)*XX(117)-JVS(1139)*XX(151)-JVS(1504)*XX(163)-JVS(1647)*XX(165)-JVS(1721)*XX(166)-JVS(1828)&
              &*XX(167)-JVS(1923)*XX(168)-JVS(2026)*XX(170)
  XX(105) = XX(105)-JVS(799)*XX(129)-JVS(1503)*XX(163)-JVS(1583)*XX(164)-JVS(1720)*XX(166)-JVS(2081)*XX(171)
  XX(104) = XX(104)-JVS(1056)*XX(148)-JVS(1115)*XX(149)-JVS(1268)*XX(156)-JVS(1502)*XX(163)-JVS(1582)*XX(164)-JVS(1719)&
              &*XX(166)-JVS(1922)*XX(168)-JVS(1991)*XX(169)-JVS(2025)*XX(170)
  XX(103) = XX(103)-JVS(1325)*XX(158)-JVS(1338)*XX(159)-JVS(1379)*XX(161)-JVS(1501)*XX(163)-JVS(1827)*XX(167)-JVS(1921)&
              &*XX(168)-JVS(2134)*XX(172)
  XX(102) = XX(102)-JVS(1422)*XX(162)-JVS(1500)*XX(163)-JVS(1646)*XX(165)-JVS(1718)*XX(166)-JVS(1826)*XX(167)-JVS(1920)&
              &*XX(168)-JVS(2024)*XX(170)
  XX(101) = XX(101)-JVS(825)*XX(130)-JVS(1183)*XX(152)-JVS(1499)*XX(163)-JVS(1645)*XX(165)-JVS(1717)*XX(166)-JVS(1825)&
              &*XX(167)-JVS(1919)*XX(168)-JVS(2080)*XX(171)
  XX(100) = XX(100)-JVS(1182)*XX(152)-JVS(1498)*XX(163)-JVS(1644)*XX(165)-JVS(1716)*XX(166)-JVS(1824)*XX(167)-JVS(1918)&
              &*XX(168)-JVS(2079)*XX(171)
  XX(99) = XX(99)-JVS(525)*XX(100)-JVS(535)*XX(101)-JVS(824)*XX(130)-JVS(1181)*XX(152)-JVS(1497)*XX(163)-JVS(1581)&
             &*XX(164)-JVS(1643)*XX(165)-JVS(1715)*XX(166)-JVS(1823)*XX(167)-JVS(1917)*XX(168)
  XX(98) = XX(98)-JVS(515)*XX(99)-JVS(524)*XX(100)-JVS(534)*XX(101)-JVS(823)*XX(130)-JVS(1180)*XX(152)-JVS(1496)*XX(163)&
             &-JVS(1580)*XX(164)-JVS(1642)*XX(165)-JVS(1714)*XX(166)-JVS(1822)*XX(167)-JVS(1916)*XX(168)
  XX(97) = XX(97)-JVS(1055)*XX(148)-JVS(1495)*XX(163)-JVS(1713)*XX(166)-JVS(1821)*XX(167)-JVS(1915)*XX(168)
  XX(96) = XX(96)-JVS(822)*XX(130)-JVS(1641)*XX(165)-JVS(1712)*XX(166)-JVS(1820)*XX(167)-JVS(1914)*XX(168)
  XX(95) = XX(95)-JVS(952)*XX(140)-JVS(1054)*XX(148)-JVS(1114)*XX(149)-JVS(1494)*XX(163)-JVS(1579)*XX(164)
  XX(94) = XX(94)-JVS(495)*XX(96)-JVS(523)*XX(100)-JVS(533)*XX(101)-JVS(821)*XX(130)-JVS(1179)*XX(152)-JVS(1493)*XX(163)&
             &-JVS(1640)*XX(165)-JVS(1711)*XX(166)-JVS(1819)*XX(167)-JVS(1913)*XX(168)
  XX(93) = XX(93)-JVS(865)*XX(133)-JVS(911)*XX(137)-JVS(1018)*XX(146)-JVS(1378)*XX(161)-JVS(1492)*XX(163)-JVS(1818)&
             &*XX(167)-JVS(1912)*XX(168)
  XX(92) = XX(92)-JVS(479)*XX(94)-JVS(494)*XX(96)-JVS(522)*XX(100)-JVS(532)*XX(101)-JVS(820)*XX(130)-JVS(1178)*XX(152)&
             &-JVS(1491)*XX(163)-JVS(1710)*XX(166)-JVS(1817)*XX(167)
  XX(91) = XX(91)-JVS(779)*XX(127)-JVS(1034)*XX(147)-JVS(1053)*XX(148)-JVS(1238)*XX(154)-JVS(1253)*XX(155)-JVS(1360)&
             &*XX(160)-JVS(1421)*XX(162)-JVS(1490)*XX(163)-JVS(1816)*XX(167)
  XX(90) = XX(90)-JVS(778)*XX(127)-JVS(1033)*XX(147)-JVS(1052)*XX(148)-JVS(1237)*XX(154)-JVS(1252)*XX(155)-JVS(1359)&
             &*XX(160)-JVS(1420)*XX(162)-JVS(1489)*XX(163)-JVS(1815)*XX(167)
  XX(89) = XX(89)-JVS(1267)*XX(156)-JVS(1488)*XX(163)-JVS(1709)*XX(166)-JVS(1814)*XX(167)-JVS(2133)*XX(172)
  XX(88) = XX(88)-JVS(1487)*XX(163)-JVS(1639)*XX(165)-JVS(1813)*XX(167)-JVS(1911)*XX(168)-JVS(1990)*XX(169)
  XX(87) = XX(87)-JVS(595)*XX(109)-JVS(1486)*XX(163)-JVS(1812)*XX(167)-JVS(1989)*XX(169)-JVS(2132)*XX(172)
  XX(86) = XX(86)-JVS(1051)*XX(148)-JVS(1177)*XX(152)-JVS(1485)*XX(163)-JVS(1578)*XX(164)-JVS(1708)*XX(166)-JVS(1811)&
             &*XX(167)
  XX(85) = XX(85)-JVS(1484)*XX(163)-JVS(1810)*XX(167)
  XX(84) = XX(84)-JVS(819)*XX(130)-JVS(1176)*XX(152)-JVS(1483)*XX(163)-JVS(1638)*XX(165)-JVS(1809)*XX(167)-JVS(1910)&
             &*XX(168)
  XX(83) = XX(83)-JVS(454)*XX(89)-JVS(923)*XX(138)-JVS(1032)*XX(147)-JVS(1175)*XX(152)-JVS(1266)*XX(156)-JVS(1482)&
             &*XX(163)-JVS(1707)*XX(166)-JVS(1808)*XX(167)
  XX(82) = XX(82)-JVS(922)*XX(138)-JVS(992)*XX(144)-JVS(1050)*XX(148)-JVS(1174)*XX(152)-JVS(1481)*XX(163)-JVS(1577)&
             &*XX(164)-JVS(1807)*XX(167)-JVS(2131)*XX(172)
  XX(81) = XX(81)-JVS(777)*XX(127)-JVS(1049)*XX(148)-JVS(1236)*XX(154)-JVS(1251)*XX(155)-JVS(1358)*XX(160)-JVS(1419)&
             &*XX(162)-JVS(1480)*XX(163)-JVS(1806)*XX(167)
  XX(80) = XX(80)-JVS(1048)*XX(148)-JVS(1222)*XX(153)-JVS(1265)*XX(156)-JVS(1479)*XX(163)-JVS(1706)*XX(166)-JVS(1805)&
             &*XX(167)
  XX(79) = XX(79)-JVS(818)*XX(130)-JVS(1173)*XX(152)-JVS(1478)*XX(163)-JVS(1637)*XX(165)-JVS(1705)*XX(166)-JVS(1804)&
             &*XX(167)-JVS(1909)*XX(168)
  XX(78) = XX(78)-JVS(493)*XX(96)-JVS(521)*XX(100)-JVS(817)*XX(130)-JVS(1477)*XX(163)-JVS(1636)*XX(165)-JVS(1803)&
             &*XX(167)-JVS(1908)*XX(168)
  XX(77) = XX(77)-JVS(798)*XX(129)-JVS(1047)*XX(148)-JVS(1172)*XX(152)-JVS(1476)*XX(163)-JVS(1576)*XX(164)
  XX(76) = XX(76)-JVS(447)*XX(88)-JVS(1475)*XX(163)-JVS(1635)*XX(165)-JVS(1802)*XX(167)-JVS(1907)*XX(168)
  XX(75) = XX(75)-JVS(415)*XX(84)-JVS(816)*XX(130)-JVS(921)*XX(138)-JVS(1046)*XX(148)-JVS(1171)*XX(152)-JVS(1264)&
             &*XX(156)-JVS(1474)*XX(163)-JVS(1575)*XX(164)-JVS(1704)*XX(166)-JVS(1801)*XX(167)
  XX(74) = XX(74)-JVS(1308)*XX(157)-JVS(1377)*XX(161)-JVS(1473)*XX(163)-JVS(1800)*XX(167)
  XX(73) = XX(73)-JVS(815)*XX(130)-JVS(1170)*XX(152)-JVS(1472)*XX(163)-JVS(1634)*XX(165)-JVS(1799)*XX(167)-JVS(1906)&
             &*XX(168)
  XX(72) = XX(72)-JVS(446)*XX(88)-JVS(1905)*XX(168)-JVS(1988)*XX(169)
  XX(71) = XX(71)-JVS(854)*XX(132)-JVS(883)*XX(135)-JVS(1376)*XX(161)-JVS(1471)*XX(163)-JVS(1798)*XX(167)-JVS(1904)&
             &*XX(168)
  XX(70) = XX(70)-JVS(1470)*XX(163)-JVS(1797)*XX(167)
  XX(69) = XX(69)-JVS(872)*XX(134)-JVS(1045)*XX(148)-JVS(1138)*XX(151)-JVS(1263)*XX(156)-JVS(1469)*XX(163)-JVS(1796)&
             &*XX(167)
  XX(68) = XX(68)-JVS(1633)*XX(165)-JVS(1903)*XX(168)-JVS(1987)*XX(169)-JVS(2023)*XX(170)
  XX(67) = XX(67)-JVS(1004)*XX(145)-JVS(1137)*XX(151)-JVS(1468)*XX(163)-JVS(1795)*XX(167)
  XX(66) = XX(66)-JVS(1574)*XX(164)-JVS(1902)*XX(168)-JVS(2022)*XX(170)-JVS(2078)*XX(171)
  XX(65) = XX(65)-JVS(1136)*XX(151)-JVS(1467)*XX(163)-JVS(1794)*XX(167)
  XX(64) = XX(64)-JVS(360)*XX(73)-JVS(814)*XX(130)-JVS(1169)*XX(152)-JVS(1466)*XX(163)-JVS(1793)*XX(167)
  XX(63) = XX(63)-JVS(813)*XX(130)-JVS(1465)*XX(163)-JVS(1632)*XX(165)-JVS(1792)*XX(167)-JVS(1901)*XX(168)
  XX(62) = XX(62)-JVS(377)*XX(76)-JVS(1464)*XX(163)-JVS(1631)*XX(165)-JVS(1791)*XX(167)-JVS(1900)*XX(168)
  XX(61) = XX(61)-JVS(531)*XX(101)-JVS(1703)*XX(166)-JVS(1790)*XX(167)
  XX(60) = XX(60)-JVS(389)*XX(78)-JVS(492)*XX(96)-JVS(812)*XX(130)-JVS(1463)*XX(163)-JVS(1789)*XX(167)
  XX(59) = XX(59)-JVS(491)*XX(96)-JVS(1788)*XX(167)
  XX(58) = XX(58)-JVS(964)*XX(141)-JVS(1135)*XX(151)-JVS(1462)*XX(163)-JVS(1787)*XX(167)
  XX(57) = XX(57)-JVS(299)*XX(63)-JVS(811)*XX(130)-JVS(1461)*XX(163)-JVS(1786)*XX(167)
  XX(56) = XX(56)-JVS(292)*XX(62)-JVS(376)*XX(76)-JVS(1460)*XX(163)-JVS(1785)*XX(167)
  XX(55) = XX(55)-JVS(1168)*XX(152)-JVS(1573)*XX(164)-JVS(1702)*XX(166)-JVS(1784)*XX(167)
  XX(54) = XX(54)-JVS(520)*XX(100)-JVS(1783)*XX(167)
  XX(53) = XX(53)-JVS(1459)*XX(163)-JVS(1782)*XX(167)-JVS(1899)*XX(168)-JVS(2021)*XX(170)
  XX(52) = XX(52)-JVS(1458)*XX(163)-JVS(1781)*XX(167)
  XX(51) = XX(51)-JVS(558)*XX(105)-JVS(789)*XX(128)-JVS(1457)*XX(163)-JVS(1780)*XX(167)
  XX(50) = XX(50)-JVS(743)*XX(123)-JVS(1375)*XX(161)-JVS(1456)*XX(163)-JVS(1779)*XX(167)
  XX(49) = XX(49)-JVS(1044)*XX(148)-JVS(1455)*XX(163)-JVS(1778)*XX(167)-JVS(2077)*XX(171)
  XX(48) = XX(48)-JVS(1043)*XX(148)-JVS(1777)*XX(167)-JVS(1898)*XX(168)-JVS(2020)*XX(170)-JVS(2076)*XX(171)
  XX(47) = XX(47)-JVS(615)*XX(112)-JVS(1897)*XX(168)
  XX(46) = XX(46)-JVS(351)*XX(72)-JVS(445)*XX(88)-JVS(1454)*XX(163)
  XX(45) = XX(45)-JVS(1453)*XX(163)-JVS(1572)*XX(164)-JVS(2075)*XX(171)
  XX(44) = XX(44)-JVS(696)*XX(121)-JVS(963)*XX(141)-JVS(1452)*XX(163)-JVS(2019)*XX(170)
  XX(43) = XX(43)-JVS(695)*XX(121)-JVS(1307)*XX(157)-JVS(1451)*XX(163)-JVS(2018)*XX(170)
  XX(42) = XX(42)-JVS(375)*XX(76)-JVS(1450)*XX(163)
  XX(41) = XX(41)-JVS(776)*XX(127)-JVS(1449)*XX(163)
  XX(40) = XX(40)-JVS(775)*XX(127)-JVS(1448)*XX(163)
  XX(39) = XX(39)-JVS(1447)*XX(163)-JVS(2074)*XX(171)
  XX(38) = XX(38)-JVS(350)*XX(72)-JVS(359)*XX(73)-JVS(1446)*XX(163)-JVS(1776)*XX(167)
  XX(37) = XX(37)-JVS(1571)*XX(164)-JVS(1701)*XX(166)-JVS(1775)*XX(167)
  XX(36) = XX(36)-JVS(177)*XX(37)-JVS(180)*XX(38)-JVS(291)*XX(62)-JVS(514)*XX(99)-JVS(1445)*XX(163)-JVS(1774)*XX(167)
  XX(35) = XX(35)-JVS(298)*XX(63)-JVS(349)*XX(72)-JVS(1444)*XX(163)-JVS(1773)*XX(167)
  XX(34) = XX(34)-JVS(171)*XX(35)-JVS(176)*XX(37)-JVS(290)*XX(62)-JVS(478)*XX(94)-JVS(1443)*XX(163)-JVS(1772)*XX(167)
  XX(33) = XX(33)-JVS(774)*XX(127)-JVS(1442)*XX(163)
  XX(32) = XX(32)-JVS(1441)*XX(163)-JVS(1630)*XX(165)-JVS(1896)*XX(168)
  XX(31) = XX(31)-JVS(297)*XX(63)-JVS(348)*XX(72)-JVS(1440)*XX(163)-JVS(1771)*XX(167)
  XX(30) = XX(30)-JVS(271)*XX(59)-JVS(1700)*XX(166)-JVS(1770)*XX(167)
  XX(29) = XX(29)-JVS(156)*XX(30)-JVS(159)*XX(31)-JVS(388)*XX(78)-JVS(1439)*XX(163)-JVS(1769)*XX(167)
  XX(28) = XX(28)-JVS(374)*XX(76)-JVS(1895)*XX(168)
  XX(27) = XX(27)-JVS(1003)*XX(145)-JVS(1894)*XX(168)
  XX(26) = XX(26)-JVS(628)*XX(114)-JVS(1893)*XX(168)
  XX(25) = XX(25)-JVS(1892)*XX(168)-JVS(2017)*XX(170)
  XX(24) = XX(24)-JVS(810)*XX(130)-JVS(1167)*XX(152)-JVS(1438)*XX(163)
  XX(23) = XX(23)-JVS(742)*XX(123)-JVS(788)*XX(128)-JVS(1437)*XX(163)
  XX(22) = XX(22)-JVS(324)*XX(68)-JVS(1436)*XX(163)
  XX(21) = XX(21)
  XX(20) = XX(20)
  XX(19) = XX(19)
  XX(18) = XX(18)
  XX(17) = XX(17)
  XX(16) = XX(16)
  XX(15) = XX(15)
  XX(14) = XX(14)
  XX(13) = XX(13)
  XX(12) = XX(12)
  XX(11) = XX(11)
  XX(10) = XX(10)
  XX(9) = XX(9)
  XX(8) = XX(8)
  XX(7) = XX(7)
  XX(6) = XX(6)
  XX(5) = XX(5)
  XX(4) = XX(4)
  XX(3) = XX(3)
  XX(2) = XX(2)
  XX(1) = XX(1)
      
END SUBROUTINE KppSolveTR

! End of KppSolveTR function
! ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~


! ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
! 
! BLAS_UTIL - BLAS-LIKE utility functions
!   Arguments :
! 
! ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

!--------------------------------------------------------------
!
! BLAS/LAPACK-like subroutines used by the integration algorithms
! It is recommended to replace them by calls to the optimized
!      BLAS/LAPACK library for your machine
!
!  (C) Adrian Sandu, Aug. 2004
!      Virginia Polytechnic Institute and State University
!--------------------------------------------------------------


!--------------------------------------------------------------
      SUBROUTINE WCOPY(N,X,incX,Y,incY)
!--------------------------------------------------------------
!     copies a vector, x, to a vector, y:  y <- x
!     only for incX=incY=1
!     after BLAS
!     replace this by the function from the optimized BLAS implementation:
!         CALL  SCOPY(N,X,1,Y,1)   or   CALL  DCOPY(N,X,1,Y,1)
!--------------------------------------------------------------
!     USE aromatics_kpp_Precision
      
      INTEGER  :: i,incX,incY,M,MP1,N
      REAL(kind=dp) :: X(N),Y(N)

      IF (N.LE.0) RETURN

      M = MOD(N,8)
      IF( M .NE. 0 ) THEN
        DO i = 1,M
          Y(i) = X(i)
        END DO
        IF( N .LT. 8 ) RETURN
      END IF    
      MP1 = M+1
      DO i = MP1,N,8
        Y(i) = X(i)
        Y(i + 1) = X(i + 1)
        Y(i + 2) = X(i + 2)
        Y(i + 3) = X(i + 3)
        Y(i + 4) = X(i + 4)
        Y(i + 5) = X(i + 5)
        Y(i + 6) = X(i + 6)
        Y(i + 7) = X(i + 7)
      END DO

      END SUBROUTINE WCOPY


!--------------------------------------------------------------
      SUBROUTINE WAXPY(N,Alpha,X,incX,Y,incY)
!--------------------------------------------------------------
!     constant times a vector plus a vector: y <- y + Alpha*x
!     only for incX=incY=1
!     after BLAS
!     replace this by the function from the optimized BLAS implementation:
!         CALL SAXPY(N,Alpha,X,1,Y,1) or  CALL DAXPY(N,Alpha,X,1,Y,1)
!--------------------------------------------------------------

      INTEGER  :: i,incX,incY,M,MP1,N
      REAL(kind=dp) :: X(N),Y(N),Alpha
      REAL(kind=dp), PARAMETER :: ZERO = 0.0_dp

      IF (Alpha .EQ. ZERO) RETURN
      IF (N .LE. 0) RETURN

      M = MOD(N,4)
      IF( M .NE. 0 ) THEN
        DO i = 1,M
          Y(i) = Y(i) + Alpha*X(i)
        END DO
        IF( N .LT. 4 ) RETURN
      END IF
      MP1 = M + 1
      DO i = MP1,N,4
        Y(i) = Y(i) + Alpha*X(i)
        Y(i + 1) = Y(i + 1) + Alpha*X(i + 1)
        Y(i + 2) = Y(i + 2) + Alpha*X(i + 2)
        Y(i + 3) = Y(i + 3) + Alpha*X(i + 3)
      END DO
      
      END SUBROUTINE WAXPY



!--------------------------------------------------------------
      SUBROUTINE WSCAL(N,Alpha,X,incX)
!--------------------------------------------------------------
!     constant times a vector: x(1:N) <- Alpha*x(1:N) 
!     only for incX=incY=1
!     after BLAS
!     replace this by the function from the optimized BLAS implementation:
!         CALL SSCAL(N,Alpha,X,1) or  CALL DSCAL(N,Alpha,X,1)
!--------------------------------------------------------------

      INTEGER  :: i,incX,M,MP1,N
      REAL(kind=dp)  :: X(N),Alpha
      REAL(kind=dp), PARAMETER  :: ZERO=0.0_dp, ONE=1.0_dp

      IF (Alpha .EQ. ONE) RETURN
      IF (N .LE. 0) RETURN

      M = MOD(N,5)
      IF( M .NE. 0 ) THEN
        IF (Alpha .EQ. (-ONE)) THEN
          DO i = 1,M
            X(i) = -X(i)
          END DO
        ELSEIF (Alpha .EQ. ZERO) THEN
          DO i = 1,M
            X(i) = ZERO
          END DO
        ELSE
          DO i = 1,M
            X(i) = Alpha*X(i)
          END DO
        END IF
        IF( N .LT. 5 ) RETURN
      END IF
      MP1 = M + 1
      IF (Alpha .EQ. (-ONE)) THEN
        DO i = MP1,N,5
          X(i)     = -X(i)
          X(i + 1) = -X(i + 1)
          X(i + 2) = -X(i + 2)
          X(i + 3) = -X(i + 3)
          X(i + 4) = -X(i + 4)
        END DO
      ELSEIF (Alpha .EQ. ZERO) THEN
        DO i = MP1,N,5
          X(i)     = ZERO
          X(i + 1) = ZERO
          X(i + 2) = ZERO
          X(i + 3) = ZERO
          X(i + 4) = ZERO
        END DO
      ELSE
        DO i = MP1,N,5
          X(i)     = Alpha*X(i)
          X(i + 1) = Alpha*X(i + 1)
          X(i + 2) = Alpha*X(i + 2)
          X(i + 3) = Alpha*X(i + 3)
          X(i + 4) = Alpha*X(i + 4)
        END DO
      END IF

      END SUBROUTINE WSCAL

!--------------------------------------------------------------
      REAL(kind=dp) FUNCTION WLAMCH( C )
!--------------------------------------------------------------
!     returns epsilon machine
!     after LAPACK
!     replace this by the function from the optimized LAPACK implementation:
!          CALL SLAMCH('E') or CALL DLAMCH('E')
!--------------------------------------------------------------
!      USE aromatics_kpp_Precision

      CHARACTER ::  C
      INTEGER    :: i
      REAL(kind=dp), SAVE  ::  Eps
      REAL(kind=dp)  ::  Suma
      REAL(kind=dp), PARAMETER  ::  ONE=1.0_dp, HALF=0.5_dp
      LOGICAL, SAVE   ::  First=.TRUE.
      
      IF (First) THEN
        First = .FALSE.
        Eps = HALF**(16)
        DO i = 17, 80
          Eps = Eps*HALF
          CALL WLAMCH_ADD(ONE,Eps,Suma)
          IF (Suma.LE.ONE) GOTO 10
        END DO
        PRINT*,'ERROR IN WLAMCH. EPS < ',Eps
        RETURN
10      Eps = Eps*2
        i = i-1      
      END IF

      WLAMCH = Eps

      END FUNCTION WLAMCH
     
      SUBROUTINE WLAMCH_ADD( A, B, Suma )
!      USE aromatics_kpp_Precision
      
      REAL(kind=dp) A, B, Suma
      Suma = A + B

      END SUBROUTINE WLAMCH_ADD
!--------------------------------------------------------------


!--------------------------------------------------------------
      SUBROUTINE SET2ZERO(N,Y)
!--------------------------------------------------------------
!     copies zeros into the vector y:  y <- 0
!     after BLAS
!--------------------------------------------------------------
      
      INTEGER ::  i,M,MP1,N
      REAL(kind=dp) ::  Y(N)
      REAL(kind=dp), PARAMETER :: ZERO = 0.0d0

      IF (N.LE.0) RETURN

      M = MOD(N,8)
      IF( M .NE. 0 ) THEN
        DO i = 1,M
          Y(i) = ZERO
        END DO
        IF( N .LT. 8 ) RETURN
      END IF    
      MP1 = M+1
      DO i = MP1,N,8
        Y(i)     = ZERO
        Y(i + 1) = ZERO
        Y(i + 2) = ZERO
        Y(i + 3) = ZERO
        Y(i + 4) = ZERO
        Y(i + 5) = ZERO
        Y(i + 6) = ZERO
        Y(i + 7) = ZERO
      END DO

      END SUBROUTINE SET2ZERO


!--------------------------------------------------------------
      REAL(kind=dp) FUNCTION WDOT (N, DX, incX, DY, incY) 
!--------------------------------------------------------------
!     dot produce: wdot = x(1:N)*y(1:N) 
!     only for incX=incY=1
!     after BLAS
!     replace this by the function from the optimized BLAS implementation:
!         CALL SDOT(N,X,1,Y,1) or  CALL DDOT(N,X,1,Y,1)
!--------------------------------------------------------------
!      USE messy_mecca_kpp_Precision
!--------------------------------------------------------------
      IMPLICIT NONE
      INTEGER :: N, incX, incY
      REAL(kind=dp) :: DX(N), DY(N) 

      INTEGER :: i, IX, IY, M, MP1, NS
                                 
      WDOT = 0.0D0 
      IF (N .LE. 0) RETURN 
      IF (incX .EQ. incY) IF (incX-1) 5,20,60 
!                                                                       
!     Code for unequal or nonpositive increments.                       
!                                                                       
    5 IX = 1 
      IY = 1 
      IF (incX .LT. 0) IX = (-N+1)*incX + 1 
      IF (incY .LT. 0) IY = (-N+1)*incY + 1 
      DO i = 1,N 
        WDOT = WDOT + DX(IX)*DY(IY) 
        IX = IX + incX 
        IY = IY + incY 
      END DO 
      RETURN 
!                                                                       
!     Code for both increments equal to 1.                              
!                                                                       
!     Clean-up loop so remaining vector length is a multiple of 5.      
!                                                                       
   20 M = MOD(N,5) 
      IF (M .EQ. 0) GO TO 40 
      DO i = 1,M 
         WDOT = WDOT + DX(i)*DY(i) 
      END DO 
      IF (N .LT. 5) RETURN 
   40 MP1 = M + 1 
      DO i = MP1,N,5 
          WDOT = WDOT + DX(i)*DY(i) + DX(i+1)*DY(i+1) + DX(i+2)*DY(i+2) +  &
                   DX(i+3)*DY(i+3) + DX(i+4)*DY(i+4)                   
      END DO 
      RETURN 
!                                                                       
!     Code for equal, positive, non-unit increments.                    
!                                                                       
   60 NS = N*incX 
      DO i = 1,NS,incX 
        WDOT = WDOT + DX(i)*DY(i) 
      END DO 

      END FUNCTION WDOT                                          


!--------------------------------------------------------------
      SUBROUTINE WADD(N,X,Y,Z)
!--------------------------------------------------------------
!     adds two vectors: z <- x + y
!     BLAS - like
!--------------------------------------------------------------
!     USE aromatics_kpp_Precision
      
      INTEGER :: i, M, MP1, N
      REAL(kind=dp) :: X(N),Y(N),Z(N)

      IF (N.LE.0) RETURN

      M = MOD(N,5)
      IF( M /= 0 ) THEN
         DO i = 1,M
            Z(i) = X(i) + Y(i)
         END DO
         IF( N < 5 ) RETURN
      END IF    
      MP1 = M+1
      DO i = MP1,N,5
         Z(i)     = X(i)     + Y(i)
         Z(i + 1) = X(i + 1) + Y(i + 1)
         Z(i + 2) = X(i + 2) + Y(i + 2)
         Z(i + 3) = X(i + 3) + Y(i + 3)
         Z(i + 4) = X(i + 4) + Y(i + 4)
      END DO

      END SUBROUTINE WADD
      
      
      
!--------------------------------------------------------------
      SUBROUTINE WGEFA(N,A,Ipvt,info)
!--------------------------------------------------------------
!     WGEFA FACTORS THE MATRIX A (N,N) BY
!           GAUSS ELIMINATION WITH PARTIAL PIVOTING
!     LINPACK - LIKE 
!--------------------------------------------------------------
!
      INTEGER       :: N,Ipvt(N),info
      REAL(kind=dp) :: A(N,N)
      REAL(kind=dp) :: t, dmax, da
      INTEGER       :: j,k,l
      REAL(kind=dp), PARAMETER :: ZERO = 0.0, ONE = 1.0

      info = 0

size: IF (n > 1) THEN
      
col:  DO k = 1, n-1

!        find l = pivot index
!        l = idamax(n-k+1,A(k,k),1) + k - 1
         l = k; dmax = abs(A(k,k))
         DO j = k+1,n
            da = ABS(A(j,k))
            IF (da > dmax) THEN
              l = j; dmax = da
            END IF
         END DO
         Ipvt(k) = l

!        zero pivot implies this column already triangularized
         IF (ABS(A(l,k)) < TINY(ZERO)) THEN
            info = k
            return
         ELSE   
            IF (l /= k) THEN
               t = A(l,k); A(l,k) = A(k,k); A(k,k) = t
            END IF
            t = -ONE/A(k,k)
            CALL WSCAL(n-k,t,A(k+1,k),1)
            DO j = k+1, n
               t = A(l,j)
               IF (l /= k) THEN
                  A(l,j) = A(k,j); A(k,j) = t
               END IF
               CALL WAXPY(n-k,t,A(k+1,k),1,A(k+1,j),1)
            END DO         
         END IF
         
       END DO col
       
      END IF size
      
      Ipvt(N) = N
      IF (ABS(A(N,N)) == ZERO) info = N
      
      END SUBROUTINE WGEFA


!--------------------------------------------------------------
      SUBROUTINE WGESL(Trans,N,A,Ipvt,b)
!--------------------------------------------------------------
!     WGESL solves the system
!     a * x = b  or  trans(a) * x = b
!     using the factors computed by WGEFA.
!
!     Trans      = 'N'   to solve  A*x = b ,
!                = 'T'   to solve  transpose(A)*x = b
!     LINPACK - LIKE 
!--------------------------------------------------------------

      INTEGER       :: N,Ipvt(N)
      CHARACTER     :: trans
      REAL(kind=dp) :: A(N,N),b(N)
      REAL(kind=dp) :: t
      INTEGER       :: k,kb,l

      
      SELECT CASE (Trans)

      CASE ('n','N')  !  Solve  A * x = b

!        first solve  L*y = b
         IF (n >= 2) THEN
          DO k = 1, n-1
            l = Ipvt(k)
            t = b(l)
            IF (l /= k) THEN
               b(l) = b(k)
               b(k) = t
            END IF
            CALL WAXPY(n-k,t,a(k+1,k),1,b(k+1),1)
          END DO
         END IF
!        now solve  U*x = y
         DO kb = 1, n
            k = n + 1 - kb
            b(k) = b(k)/a(k,k)
            t = -b(k)
            CALL WAXPY(k-1,t,a(1,k),1,b(1),1)
         END DO
      
      CASE ('t','T')  !  Solve transpose(A) * x = b

!        first solve  trans(U)*y = b
         DO k = 1, n
            t = WDOT(k-1,a(1,k),1,b(1),1)
            b(k) = (b(k) - t)/a(k,k)
         END DO
!        now solve trans(L)*x = y
         IF (n >= 2) THEN
         DO kb = 1, n-1
            k = n - kb
            b(k) = b(k) + WDOT(n-k,a(k+1,k),1,b(k+1),1)
            l = Ipvt(k)
            IF (l /= k) THEN
               t = b(l); b(l) = b(k); b(k) = t
            END IF
         END DO
         END IF
   
      END SELECT

      END SUBROUTINE WGESL
! End of BLAS_UTIL function
! ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~



END MODULE aromatics_kpp_LinearAlgebra

